Homotopy Perturbation Method

Homotopy perturbation method (HPM) is a semi‐analytical technique for solving linear as well as nonlinear ordinary/partial differential equations. The method may also be used to solve a system of coupled linear and nonlinear differential equations. This chapter first illustrates the basic...

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Veröffentlicht in:Advanced Numerical and Semi-Analytical Methods for Differential Equations S. 131 - 139
Hauptverfasser: Chakraverty, Snehashish, Mahato, Nisha, Karunakar, Perumandla, Dilleswar Rao, Tharasi
Format: Buchkapitel
Sprache:Englisch
Veröffentlicht: United States Wiley 2019
John Wiley & Sons, Incorporated
John Wiley & Sons, Inc
Ausgabe:1
Schlagworte:
coupled differential equations
homotopy perturbation method
nonlinear ordinary differential equation
nonlinear partial differential equation
Art
Perturbation methods
IEEE Sections
Ear
Boundary conditions
Strain
Convergence
ISBN:9781119423423, 1119423422
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung:Homotopy perturbation method (HPM) is a semi‐analytical technique for solving linear as well as nonlinear ordinary/partial differential equations. The method may also be used to solve a system of coupled linear and nonlinear differential equations. This chapter first illustrates the basic idea of the HPM. It uses the present method to solve a nonlinear ordinary differential equation, a nonlinear partial differential equation, and a coupled nonlinear system of partial differential equations. It is worth mentioning that the HPM can also be used for handling linear ordinary and partial differential equations. The test problems demonstrated in the chapter confirm that the HPM is an efficient method for solving linear/nonlinear ordinary, partial, and coupled differential equations. The series usually converges with an increase in the number of terms, but one may not expect the compact form solution always.
ISBN:9781119423423
1119423422
DOI:10.1002/9781119423461.ch12