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丛书简介
力学基础与工程技术前沿
同伦分析方法与非线性微分方程(英文版)
作 者:
廖世俊
ISBN:978-7-04-032298-9 出版时间:2012-02-09
全书目录
本章目录
内封
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目录
FrontMatter
PartIBasicIdeasandTheorems
1Introduction
2BasicIdeasoftheHomotopyAnalysisMethod
3OptimalHomotopyAnalysisMethod
4SystematicDescriptionsandRelatedTheorems
5RelationshiptoEulerTransform
6SomeMethodsBasedontheHAM
PartIIMathematicaPackageBVPhandItsApplications
7MathematicaPackageBVPh
8NonlinearBoundary-valueProblemswithMultipleSolutions
9NonlinearEigenvalueEquationswithVaryingCoefficients
10ABoundary-layerFlowwithanInfiniteNumberofSolutions
11Non-similarityBoundary-layerFlows
12UnsteadyBoundary-layerFlows
PartIIIApplicationsinNonlinearPartialDifferentialEquations
13ApplicationsinFinance:AmericanPutOptions
14TwoandThreeDimensionalGelfandEquation
15InteractionofNonlinearWaterWaveandNonuniformCurrents
16ResonanceofArbitraryNumberofPeriodicTravelingWaterWaves
Index
9.1Introduction
9.2Briefmathematicalformulas
9.3Examples
9.3.1Non-uniformbeamactedbyaxialload
9.3.2Gelfandequation
9.3.3Equationwithsingularityandvaryingcoefficient
9.3.4Multipointboundary-valueproblemwithmultiplesolutions
9.3.5Orr-Sommerfeldstabilityequationwithcomplexcoefficient
9.4Concludingremarks
Appendix9.1InputdataofBVPhforExample9.3.1
Appendix9.2InputdataofBVPhforExample9.3.2
Appendix9.3InputdataofBVPhforExample9.3.3
Appendix9.4InputdataofBVPhforExample9.3.4
Appendix9.5InputdataofBVPhforExample9.3.5
Problems
References
9NonlinearEigenvalueEquationswithVaryingCoefficients
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