偏微分方程与孤波理论
偏微分方程与孤波理论封面图

偏微分方程与孤波理论

(美) 佤斯瓦茨 (Wazwaz,A.M.) , 著

出版社:高等教育出版社

年代:2009

定价:89.0

书籍简介:

本书列入《非线性物理科学》,和Springer合作出版。

书籍目录:

PartⅠPartialDifferentialEquations

1BasicConcepts

1.1Introduction

1.2Definitions

1.2.1DefinitionofaPDE

1.2.2OrderofaPDE

1.2.3LinearandNonlinearPDEs

1.2.4SomeLinearPartialDifferentialEquations

1.2.5SomeNonlinearPartialDifferentialEquations

1.2.6HomogeneousandInhomogeneousPDEs

1.2.7SolutionofaPDE

1.2.8BoundaryConditions

1.2.9InitialConditions

1.2.10Well-posedPDEs

1.3ClassificationsofaSecond-orderPDE

References

2First-orderPartialDifferentialEquations

2.1Introduction

2.2AdomianDecompositionMethod

2.3TheNoiseTermsPhenomenon

2.4TheModifiedDecompositionMethod

2.5TheVariationalIterationMethod

2.6MethodofCharacteristics

2.7SystemsofLinearPDEsbyAdomianMethod

2.8SystemsofLinearPDEsbyVariationalIterationMethod

References

3OneDimensionalHeatFlow

3.1Introduction

3.2TheAdomianDecompositionMethod

3.2.1HomogeneousHeatEquations

3.2.2lnhomogeneousHeatEquations

3.3TheVariationalIterationMethod

3.3.1HomogeneousHeatEquations

3.3.2InhomogeneousHeatEquations

3.4MethodofSeparationofVariables

3.4.1AnalysisoftheMethod

3.4.2InlaomogeneousBoundaryConditions

3.4.3EquationswithLateralHeatLoss

References

4HigherDimensionalHeatFlow

4.1Introduction

4.2AdomianDecompositionMethod

4.2.1TwoDimensionalHeatFlow

4.2.2ThreeDimensionalHeatFlow

4.3MethodofSeparationofVariables

4.3.1TwoDimensionalHeatFlow

4.3.2ThreeDimensionalHeatFlow

References

5OneDimensionalWaveEquation

5.1Introduction

5.2AdomianDecompositionMethod

5.2.1HomogeneousWaveEquations

5.2.2InhomogeneousWaveEquations

5.2.3WaveEquationinanInfiniteDomain

5.3TheVariationalIterationMethod

5.3.1HomogeneousWaveEquations

5.3.2InhomogeneousWaveEquations

5.3.3WaveEquationinanInfiniteDomain

5.4MethodofSeparationofVariables

5.4.1AnalysisoftheMethod

5.4.2InhomogeneousBoundaryConditions

5.5WaveEquationinanInfiniteDomain:DAlembertSolution

References

6HigherDimensionalWaveEquation

6.1Introduction

6.2AdomianDecompositionMethod

6.2.1TwoDimensionalWaveEquation

6.2.2ThreeDimensionalWaveEquation

……

7LaplacesEquation

8NonlinearPartialDifferentialEquations

9LinearandNonlinearPhysicalModels

10NumericalApplicationsandPadeApproximants

11SolitonsandCompactons

PartⅡSolitrayWavesTheory

12SolitaryWavesTheory

13TheFamilyoftheKdVEquations

14KdVandmKdVEquationsofHigher-orders

15FamilyofKdV-typeEquations

16Boussinesq,Klein-GordonandLiouvilleEquations

17Burgers,FisherandRelatedEquations

18FamiliesofCamassa-HolmandSchrodingerEquations

Appendix

AIndefiniteIntegrals

BSeries

CExactSolutionsofBurgersEquation

DPadeApproximantsforWell-KnownFunctions

ETheErrorandGammaFunctions

FInfiniteSeries

Answers

Index

内容摘要:

  PartialDifferentialEquationsandSolitaryWavesTheoryisdesignedtoserveasatextandareference.Thebookisdesignedtobeaccessibletoadwnncedundergraduateandbeginninggraduatestudentsaswellasresearchmonographtoresearchersinappliedmathematics,scienceandengineering.Thistextisdifferentfromothertextsinthatitexplainsclassicalmethodsinanonabstractwayanditintroducesandexplainshowthenewlydevelopedmethodsprovidemoreconcisemethodstoprovideefficientresults.

书籍规格:

书籍详细信息
书名偏微分方程与孤波理论站内查询相似图书
丛书名非线性物理科学
9787040254808
如需购买下载《偏微分方程与孤波理论》pdf扫描版电子书或查询更多相关信息,请直接复制isbn,搜索即可全网搜索该ISBN
出版地北京出版单位高等教育出版社
版次1版印次1
定价(元)89.0语种英文
尺寸24装帧精装
页数印数 2000

书籍信息归属:

偏微分方程与孤波理论是高等教育出版社于2009.03出版的中图分类号为 O175.2 ,O534 的主题关于 偏微分方程-英文 ,孤立波-理论-英文 的书籍。