Файл: Харитонов, В. В. Некоторые нелинейные задачи теплопроводности.pdf

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Продолжение таблицы

г

^0

'0

4

Іо2

/о

'О3

'0

'0

Z

.876

.20124

.48138

.21195

.53400

.22429

.59913

.23873

.68169

.876

.877

.20172

.48203

.21248

.53486

.22489

.60028

.23941

.68327

.877

.878

.2 0 2 2 1

.48268

.21302

.53572

.22549

.ВО 143.

.24010

.68486

.878

.879

.20269

.48334

.21355

.53659

.22609

.60259

.24078

.68644

.879

.880

.20317

.48399

.21409

.53745

.22669

.60375

.24147

.68803

.880

0.881

1.20366

0.48464

1.21463

0.53831

1.22730

0.60491

1.24216

0.68963

0 .8 8 і

.882

.20414

.48530

.21517

.53918

.22790

.60607

.24285

,69623t

.882

.883

.20463

.48595

.21571

.54004

.22851

.60724

.24354

.69283

.883

.884

.20512

.48660

.21625

.54091

.22912

.60840

.24423

.69444

.884

.885

.20560

.48726

.21679 •

.54178

.22973

.60958

.24493

.69606.

.885

.886

.20609

.48791

.21733

.54265

.23034

.61075

.24562

.69767-

.886

.887

.20658

.48857

.21787

.54352

.23095

.61192

.24632

.69930.

.887

.888

.20707

.48923

.21842

.54439

.23156

.61310

.24702

.70092

.888

.889

.20756

.48988

.21896

.54526

.23217

.61428

.24772

.70255

.889

.890

.20805

.49054

.21951

.54613

.23279

.61546

.24843

.70419

.890

.891

.20854

.49120

.22005

.54701

.23340

.61664

.24913

.70583

.891

.892

.20903

.49185

.22060

.54788

.23402

.61783

.24984

. .70748

.892

.893

.20952

.49251

.22115

.54876

.23461

.61901

.25055

.70912

.893

.894

.2 1 0 0 1

.49317

.22170

.54964

.23526

.62020

.25126

.71078

.894

.895

.21051

.49383

.22225

.55051

.23588

.62140

.25197

.71244

.895

.896

.2 1 1 0 0

.49449

.22280

.55139

.23650

.62259

.25268

.71410

.896

.897

.21150

.49515

.22335

.55227

.23713

.62379

.25340

.71577

.897

.898

.21199

.29581

.22390

.55316

.23775

.62499

.25412

.71744

.898

.899

.21249

.49647

.22446

.55404

.23838

.62619

.25483

.71912

.899

.900

.21299

.49713

.22501.

.55492

.23900

.62739

.25555

.72080

.900

0.901

1.21348

0.49779

1.22557

0.55581

1.23963

0.62860

1.25627

0.72249

0.901

.902

.21398

. .49845

.22612

.55669

.24026

.62981

.25700

.72418

.902

.903

.21448

-1499-11•

.22668

.55758

.24089

.63102

.25772

.72587

.903

.904

.21498

.49977

 

.22724

.55847

.24152

.63223

.25845

.72757

.904

.905

.21548

.50043

 

.22780

.55936

.24215

.63344

.25918

.72928

.905

.906

.21598

.50110

 

.22836

.56024

.24279

.63466

.25991

.73090

.906

.907

.21648

,50176

 

.22892

.56114

.24342

.63588

.26064

.73270

.907

.908

.21698

.50242

 

.22948

.56203

.24406

.63711

.26137

.73442

.908

.909

.21749

.50309

 

.23004

.56292

.24470

.63833

.26211

.73615

.909

.910

.21799

.50375

 

.23061

.56382

.24534

.63956

.26285

.73788

.910

.911

.21849

.50442

 

.23117

.56471

.24598

.64079

.26358

.73962

.911

.912

.219001

.50508

 

.23174

.56561

.24662

.64200

.26432

.74136

.912

.913

.21950

.50575

 

.23230

.56651

.24726

.64325

.26507

.74311

.913

.914

.2 2 0 0 1

.50641

 

.23287

.56740

.24791

.64449

.26581

.74485

.914

.915

.22052

.50708

 

.23344

.56830

.24855

.64573

.26656

.74660

.915

.916

.22103

.50775

 

.23401

.56920

.24920

.64697

.26730

.74836

.916

.917

.22153

.50841

-

.23458

.57011

.24984

.64822

.26805

.75013

.917

.918

.22204

.50908

.23515

.57101

.25049

.64946

.26881

.75190

.918

.919

.22255

.50975

 

.23572

.57191

.25114

.65071

.26956

.75367

.919

.920

.22306

.51042

 

.23629

.57282

.25179

.65196

.27031

.75545

.920

0.921

1.22357

0.51108

 

1.23686

0.57372

1.25245

0.65320

1.27107

0.75724

0.921

.922

.22408

.51175

 

.23744

.57463

.25310

.65448 '

.27183

.75903

.922

.923

.22459

.51242

 

.23801

.57554

.25376

.65573

.27259

.76083

.923

.924

.22511

.51309

 

.23859

.57645

.2544 1

.65700

.27335

.76263

.924

.925

.22562

.51376

 

.23916

.57736

.25507

.65826'

.27411

.76443

.925

.926

.22613

.51443

 

.23974

.57827

.25573

.65953

.27488

.76624

.926

.927

.22665

.51510

 

.24032

.57919

.25639

.66080

.27564

.76806

.927

.928

.22716

.51577

 

.24090

.58010

.25705

.66207

.27641

.76988

.928

.929

.22768

.51647

 

.24148

.58102

.25771

.66334

.27718

.77171

.929

.930

.22820

.51712

 

.24206

.58193

.25838

.66462

.27796

.77354

.930

.93!

.22872

.51779

 

.24264

.58285

.25904

.66590

.27873

.77538

.931

.932

.22923

.51846

 

.24323

.58377

.25971

.66718

.27951

.77723

.932

.933

.22975

.51914

 

.24381

.58469

.26038

.66846

.28028

.77908

.933

.934

.23027

.51981

 

.24440

.58561

.26105

.66975

.28106

.78093

.934

.935

.23079

.52048

 

.24498

.58653

.26172

.67104

.28185

.78279

.935

.936

.23131

.52116

 

.24557

,58746

.26239

.67233

.28263

.78466

.936

.937

.23183

.52183

 

.24616

,58838

' .26306

.67363

.28342

.78653

.937

.938

.23236

.52251

 

.24675

.58931

.26374

.67492

.28420

.78840

.938

 

/»

70

О

‘о2

Z

у0

.939

.23288

.52318

.24734

.59023

.940

■ .23340

.52386

.24793

.59116

0.941

1.23393

0.52453

1.24852

0.59209

.942

.23445

.52521

.24911

.59302

.943

.23498

.52589

.24971

.59395

.944

.23550

.52656

.25030

.59488

.945

.23603

.52724

.25090

.59582

.946.

.23656

.52792

.25149

.59675

.947

.23709

.52860

.25209

.59769

.948

.23762

.52928

.25269 ■

.59862

.949

.23814

.52996

.25329

.59956

.950

.23868

.53064

,25389

.60050

.951

.23921

.53132

.25449

.60144

.952

.23974

.53200

.25509

.60238

.953

.24027

.53268

.25569

.60333

.954

.24080

.53336

.25630

.60427

.955

.24134

.53404

.25690

.60522

.956

.24187

.53473

.25751

.60616

.957

.24241

.53541

.25811.

.60711

.958

.24294

.53609

.25872

.60806

.959

.24348

.53678

.25933

.60901

.960

.24402

.53746

.25994

.60996

0.961

1.24455

0.53814

1.26055

0.61092

.962

.24509

,53883

.26116

.61187

.963

.24563

.53952

.26177

.61282

.964

.24617

.54020

.26239

.61378

.965

.24671

.54089

.26300

.61474

.966

.24725

.54157

.26362

.61570

.967

.24779

.54226

.26423

.61666

.968

.24834

.54295

.26485

.61762

.969

.24888

.54363

.26547

.61858

.970

.24942

.54432

.26609

.61954

.971

.24997

.54501

.26671

.62051

.972

.25051

.54570

.26733

.62148

.973

.25106

.54639

.26795

.62244

.974

.25161

.54708

.26857

.62341

.975

.25215

.54778

.26920

.62438

.976

.25270

■ .54846

.26982

.62535

.977

.25325

.54915

.27045

.62632

.978

.25380

.54984

.27107

.62730

.979

.25435

.55053

.27170

.62827

.980

. .25490

.55123

.27233

.62925

0.981

1.25545

.0.55192

1.27296

0.63023

.982

.25601

■.55261

.27359

.63120

-.983

.25656

.55330

.27422

.63218

.984

.25711

.55400

.27486

.63317

.985

.25767

.55469

.27549

.63415

.986

.25822

.55539

.27612

.63513

.987

.25878

.55608

.27676

.63612

.988

.25933

.55678

.27740

.63710

.989

.25989

.55748

.27803

.63809

.990

.26045

.55817

.27867

.63908

.991

.26101

,55887

.27931

.64007

.992

.26157

.55956

.27995

.64106

.993

.26213

.56026

.28059

.64205

.994

.26269

.56096

.28124

.64305

:995

.26325

.56166

.28188

.64404

.996

.26381

.56236

.28252

.64504

.997

.26437

.56306

.28317

.64604

.998

.26494

.56376

.28382

.64704

.999

.26550

.56446

.28446

.65804

1.0 0 0

.26607

.56516

.28511

.64904

Продолжение таблицы

â

‘а

4

4 4

Z

 

 

 

 

.26441

.67622

.28499

.79028

.939

.26509

.67753

.28579

.79217

.940

1.26577

0.67883

1.28658

0.79406

0.941

.26644

.68014

.28737

.79596

.942

.26713

.68145

.28817

.79787

.943

.26781

.68276

.28897

.79978

.944

.26849

.68408

.28977

.80170

.945

.26918

.68540

.29057

.80362

.946

.26986

.68670

.29138

.80554

.947

.27055

.68804

.29218

.80748

.948

.27124

.68937

.29299

.80942

.949

.27193

.69070

.29380

.81136

.950

.27262

.69203

.29461

.81331

.951

.27331

.69337

.29543

.81527

.952

.27401

.69470

.29624

.81723

.953

.27470

.69607

.29706

.81920

.954

.27540

.69733

.29788

.82118

.955

.27610

.69873

.29871

.82316

.956

.27880

.70008

.29953

.82514

.957

.27750

.70143

.30036

.82714

.958

.27820

.70279

.30118

.82913

.959

.27890

.70414

.30201

.83114

.960

1.27961

0.70550

1.30285

0.83315

0.961

.28031

.70687

.30368 .

.83517

.962

.28102

.70823

.30452

.83719

.963

.28173

.70960

.30535

.83922

.964

.28244

.71097

.30620

.84126

.965

.28315

.71234

.30704

.84330

.966

.28386

.71372

.30788

.84535

.967

.28458 .

.71510 ’

.30873'

.84740

.968

.28530

.71648

.30958

.84946

.969

.28601

.71787

,31043

.85153

.970

.28673

.71926

.31128

.85361

.971

.28745

.72065

.31213

.85569

.972

.28817

.72204

.31299

.85777

.973

.28890

.72344

.31385

.85987

.974

.28962

.72484

• .31471

.86197

.975

.29034

.72624

.31557

.86407

.976

.29107

.72765

.31644

.86619

.977

.29180

.72906

.31731

.86830

.978

.29253

.73047

.31818

.87043

.979

.29326.

.73188

.31905

.87257

.980

1.29399

0.73330

1.31992

0.87471

0.981

.29473

.73472

.32080

.87686

.982

.29546

.73614

.32167

.87901

.983

.29620

.73757

.32255

.88117

.984

.29694

.73900

.32347

.88334

.985

.29768

.74043

.32432

.88551

.986

.29842

.74187

.35521

.88769

.987

.29916

.74331

.32610

.88988

.988

.29990

.74475

.32699

.89208

.989

.30065

.74620

.32788

.89428

.990

.30140

.74764

.32878

.89649

.991

,30215

.74909

.32967

. .89870

.992

.30290

.75055

.33057

.90093

.993

.30365

.75201

.33148

.90316

.994

.30440

.75347

.33238

.90540

.995

.30515

.75493

.33329

.90764

.996

.30591

.75640

.33419

.90989

.997

.30667

.75787

.33511

.91215

.998

.30743

.75934

.33600

.91442

.999

.30819

.76087

.33693

.91669

1.0 0 0

значений функций и+ (х,

т, Ь0),

являющейся решением уравнения и" -|- — u' -f- и"1= Ь0

(0 < Ь0 < 1 ),

,

. ч

являющейся решением уравнения и

1

(—1 <йо<

0),

и и.(х,

т, ои),

-j------- и'—ит—Ь0

 

 

 

для 0_<Г\ѵ..<М и т — I, 2,

л:

 

 

 

 

 

3 и 4

 

 

т = 1

 

 

т = =2

 

т = 3

т = 4

 

X

 

 

 

 

 

 

X

и+

 

и+

 

“+

 

“+

 

и _

и _

и .

 

 

 

 

 

ІМ == 0 , 1

0.00

1.0 0 0 0 0

1.0 0 0 0 0

1.0 0 0 0 0

1.0 0 0 0 0

.0 1

0.99998

0 .0 0 0 2

0.99998

.0 0 0 0 2

.0 2

.99991

.00009

.99991

.00009

.03

.99980

.0 0 0 20

.99980

.0 0 0 20

.04

.99964

.00036

.99964

.00036

.05

.99944

.00056

.99944

.00056

.06

.99919

. .00081

.99919

.00081

.07

.99890

.0 0 1 1 0

.99890

.0 0 1 1 0

.08

.99856

.00144

.99856

.00144

.09

.99818

.00182

.99818

.00182

.1 0

.99775

.00225

.99775

.00225

. 1 1

.99728

.00272

.99728

.00273

. 1 2

.99676

.00324

.99677

.00325

.13

.99620

.00381

.99621

.00381

.14

.99560

.00442

.99560

.00442

.15

.99494

.00507

.99495

.00508

.16

.99425

.00577

.99426

.00578

.17

.99351

.00651

.99352

.00653

.18

.99272

.00730

.99274

.00732

.19

.99190

.00814

.99191

.00816

0 .2 0

0.99102

.00902

0.99104

1.00905

.2 1

.99010

.00995

.99013

.00998

.2 2

.98914

.01092

.98918

.01096

.23

.98814

.01194

.98818

.01198

.24

.98709

.01301

.98713

.91305

.25

.98599

.01412

.98605

.01417

.26

.98485

.01527

.98492

.01534

.27

.98367

0.1648

.98375

.01655

.28

.98245

.01773

.98253

.01781

.29

.98118

.01902

.98127

.01912

.30

.97986

.02036

.97998

.02048

.31

.97851

.02175

.97863

.02188

.32

.97711

.02319

.97725

.02334

.33

.97566

.02467

.97583

.02484

.34

.97418

.02620

.97436

.02639

.35

.97265

.02777

.07285

.02799

.36

.97108

.02940

.97131

.02964

.37

.96946

.03107

.96972

.03134

.38

.96780

.03278

.96809

.03309

.39

.96610

.03455

.96642

.03488

0.40

0.96436

1.03636

0.96471

1.03673

.41

.96257

.03822

.96296

• .03863

.42

.96075

.04013

.96117

.04058

.43

.95888

.04209

.95934

.04258

.44

.95696

.04409

.95747

.04464

.45

.95501

.04614

.95557

.04674

.46

.95302

.04824

.95362

.04890

.47

.95098

.05039

.95164

.05111

.48

.94890

.05259

.94962

.05337

.49

.94678

.05484

.94756

.05569

.50

.94462

.05714

.94546

.05806

.51

.94242

.05948

.94333

.06048

.52

„94018

.06188

.94116

.06296

1.0 0 0 0 0

1.0 0 0 0 0

1.0 0 0 0 0

1.0 0 0 0 0

0.00

0.99998

.0 0 0 0 2

0.99998

.0 0 0 0 2

.01

.99991

.00009

.99991

.00009

.0 2

.99980

.0 0 0 20

.99980

.0 0 0 20

.03

.99964

.00036

.99964

.00036

.04

.99944

.00056

.99944

.00056

.05

.99919

.00081

.99919

.00081

.06

.99890

.0 0 1 1 0

.99890

.0 0 1 1 0

.07

.99856

.00144

.99856

.00144

.08

.99818

.00183

.99818

.00183

.09

.99775

• .С0225

.99776

.00226

.1 0

.99728

.00273

.99729

.00273'

.1 1

.99677

.00325

.99677

.00325

. 1 2

.99621

.00381

.99621

.00382

.13

.99561

.00443

.99561

.00443

.14

.99496

.00508

.99497

.00509

.15

.99427

.00579

.99428

.00580

.16

.99353

.00654

.99354

.00655

.17

.99275

.00733

.99277

.00735

.18

.99193

.00818

.99195

.00820

.19

0.99107

.00907

0.99109

.00909

0 .2 0

.99016

.0 10 0 1

.99019

.01003

.2 1

.98921

.01099

.98924

.0 1 1 0 2

•.22

.98821

.0 1 2 0 2

.98825

.01206

.23

.98718

.01310

.98722

.01315

.24

.98610

.01417

.98615

.01429

.25

.98498

.01541

.98504

.01547

.26

.98382

.01663

.98389

.01671

.27

.98262

.01790

.98270

.01799

.28

.98137

.01923

.98147

.01933

.29

.98009

.02060

.98020

.02072

.30

.97876

.0 2 2 0 2

.97888

.02216

.31

.97739

.02349

.97753

.02365

.32

.97599

.02501

.97615

.02519

.33

.97454

.02659

• .97472

.02679

.34

.97306

.02821

.97326

.02843

.35

.97153

.02989

.87175

.03014

.36

.96997

.03161

.97022

.03190

.37

.96837

.03339

.96864

.03371

.38

.96673

.03523

.96703

.03558

.39

0.96505

1.03711

.096538

.03750

0.40

.96333

.03905

.96370

.03949

.41

.96158

.04105

.96198

.04153

.42

.95979

.04310

.96023

.04362

.43

.95797

.04520

.95845

.04578

.44

.95611

.04736

.95663

.04800

.45

.95421

.04958

.95478

.05028

.46

.95185

.05185

.95289

.05262

.47

.95031

.05418

.95098

.05502

.48

.94831

.05657

.94903

.05748

.49

.94627

.05901

.94705

.06001

.50

.94420

.06152

.94504

.06261

.51

.94210

.06409

.94300

.06527

.52

 

m= 1

 

in-=2

 

тп=3

" +

и.

“ +

и.

" +

и.

 

 

 

1^0 =

0,1

 

.53

.93790

.06432

.54

.93558

.06682

.55

.93321

.06936

.56

.93081

.07196

.57

.92837

.07460

.58

.92589

.07730

.59

.92336

.08004

0.60

0.92080

1.08284

.61

.91820

.08569

.62

.81557

.08859

.63

.91289

.09154

.64

.91017

.09455

.65

.90742

.09760

.66

.90463

.10071

.67

.90180

.10387

.68

.89893

.10709

.69

.89602

.11035

.70

.89308

.11367

.71

.89010

.11705

.72

.88708

.12047

.73

.88403

.12396

.74

.88094

.12749

.75

.87-782

.13108

.76

.87466

.13473

.77

.87146

.13843

.78

.86823

.14218

.79

.86496

.14600

0.80

0.86166

1,14986

.81

.85832

.15379

.82

.85495

.15777

.83

.85154

.16181

.84

.84811

.16590

.85

.84463

.17005

.86

.84113

.17426

.87

.83759

.17853

.88

.83401

.18286

.89

.83041

.18724

.90

.82677

.19169

.91

.82310

.19619

.92

.81940

.20075

.93

.81567

.20538

.94

.81190

.21006

.95

.80811

.21481

.96

.80428

.31961

.97

.80043

.22448

.98

.79654

.22941

.99

.79262

.23440

1.0 0

.78868

.23946

.93895

.06549

.93671

.06808

.93443

.07072

.93212

.07342

.92977

.07618

.92738

.07899

.92496

.08186

0.92251

1.08479

.92002

.08778

.91750

.09082

.91495

.09393

.91236

.09709

.90974

.10032

.90709

.10360

.90441 '

.10695

.90169

.11036

.89895

.11383

.89617

.11737

.89336

.12097

.89052

.12463

.88766

.12836

.88476

.13216

.88184

.13602

.87888

.13995

.87590

/14395

.87289

.14801

.86985

.15215

0.86679

1.15635

.86370

.16063

• .86058

.16497

.85744

' .16939

.85427

.17388

.85107

; .17845

.84785

.18309

.84461

.18781

.84134

.19260

.83805

.19747

.83474

.20242

.83140

.20744

.82805

.21255

.82467

.21774

.82126

.22301

.81784

.22836

.81440

.23380

.81093

.23932

.80745

.24493

.80394

.25063

.80042

.25641

.93996

.06671

.93780

.96940

.93560

.07215

.93336

.07496

.93110

.07784 '

.92881

.08078

.92648

.08378

0.92413

1.08685

.92175

.08999

.91933

.09320

.91689

.09647

.91442

.09981

.91193

.10323

.90940

.10671

•9С685

.11027

.90428

.11390

.90107

.11760

.89904

.12138

.89639

.12524

.89371

.12917

.89101

.13318

.88829

.13727

.88554

.14145

.88277

.14570

.87997

.15004

.87716

.15447

.87432

.15898

0.87147

.16358

.86859

.16827

.86569

.17305

.86278

.17792

.85984

.18289

.85689

.18795 . •

.85391

.19311

.85092

.19837

.84792

.20373

.84489

.20920

.84185

.21476

.83880

.22044

.83573

.22622

.83264

.23212

.82954

.23813

.82643

.24425

.82330

.25049

.82016

.25685

.81700

.26333

.81384

.26994

.81066

.27668

І6оІ= 0 , 2

0.00

 

1.0 0 0 0 0

1.0 0 0 0 0

 

1.0 0 0 0 0

1.0 0 0 0 0

1.0 0 0 0 0

.00000

.01

 

0.99998

.0 0 0 0 2

 

.0.99998

.0 0 0 0 2

0.99998

.0000 2

.0 2

 

.99992

.00008

'

.99992

.00008

.99992

.00008

.03

 

.99982

.00018

.99982

.00018

.99982

.00018

.04

 

.99968

.00032

 

.99968

.00032

.99968

.00032

.05

 

.99950

.00050

 

.99950

.00050

.99950

.00050

.06

'

.99928

- :00072

•

.99928

.00072

.99928

.00072

.07

.99902

.00098

 

.99902

.00098

.99902

.00098

.08

' '

.99872

.00128"

 

.99872

.00128

.99872

.00128

 

Продолжение таблицы

 

m=4

 

X

" +

иш

.94093

.06799

.53

.93884

:07079

.54

.93671

.07365

.55

.93455

.07659

.56

.93237

.07959

.57

.93016

.08267

.58

.92793

.08582

.59

0.92567

1.08905

0.60

.92338

.09235

.61

.92107

.09573

.62

.91873

.09919

.63

.91637

.10273

.64

.91398

.10636

.65

.91158

.11006

.66

.90915

.11385

.67

.90670

.11773

.68

.90422 '

.12170

.69

.90173

.12575

.70

.89922

.12990

.71

.89668

.13414

.72

.89413

.13848

.73

.89156

.14291

.74

.88897

.14745

.75

.88636

.15209

.76

.88373

.15683

.77

.88109

.16168

.78

.87843

.16664

.79

0.87576

1.17171

0.80

.87307

.17689

.81

.87037

.18219

.82

.86765

.18762

.83

.86492

.19316

.84

.86217

.19883

.85

.85941

.20463

.86

.85664

.21056

.87

.85386

.21663

.88

.85106

.22284

.89

.84826

.22919

.90

.84544

.23569

.91

.84261

.24233'

.92

.83978

.24914

.93

.83693

.25610

.94

.83408

.26323

.95

.83122

.27052

.96

.82835

.27799

.97

.82547

.28564

.98

.82259

.29347

.99

.81970

.30149

1.0 0

1.0 0 0 0 0

1.0 0 0 0 0

0.00

0.99998

.0 0 0 0 2

.0 1

.99992

.00008

.0 2

.99982

.00018

.03

.99968

.00032

.04

.99950

.00050

.05

.99928

.00072

.06

.99902

.00098

.07

.99872

.00128

.08

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