Green’s function homotopy perturbation method for the initial-boundary value problems

Wannika Sawangtong; Panumart Sawangtong

doi:10.1186/s13662-019-2350-7

Green’s function homotopy perturbation method for the initial-boundary value problems

Wannika Sawangtong
, Panumart Sawangtong

Mahidol University
CHE
King Mongkut's University of Technology North Bangkok

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

This article deals with the novel method for finding solutions for the initial-boundary value problems (IBVPs), which is called the Sawangtong’s Green function homotopy perturbation method, shortly called SGHPM. The SGHPM is a method which combines the homotopy perturbation method with Green’s function method. The convergence analysis for the SGHPM is shown. Furthermore, some examples are presented to illustrate the validity of the proposed method and to ensure that SGHPM is a technique which is powerful and efficient for finding approximate analytic solutions of IBVPs.

Original language	English
Article number	419
Journal	Advances in Difference Equations
Volume	2019
Issue number	1
DOIs	https://doi.org/10.1186/s13662-019-2350-7
Publication status	Published - 1 Dec 2019
Externally published	Yes

Keywords

Green’s function method
Initial-boundary value problems
Integral equation
Sawangtong’s Green function homotopy perturbation method

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10.1186/s13662-019-2350-7

Cite this

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title = "Green{\textquoteright}s function homotopy perturbation method for the initial-boundary value problems",

abstract = "This article deals with the novel method for finding solutions for the initial-boundary value problems (IBVPs), which is called the Sawangtong{\textquoteright}s Green function homotopy perturbation method, shortly called SGHPM. The SGHPM is a method which combines the homotopy perturbation method with Green{\textquoteright}s function method. The convergence analysis for the SGHPM is shown. Furthermore, some examples are presented to illustrate the validity of the proposed method and to ensure that SGHPM is a technique which is powerful and efficient for finding approximate analytic solutions of IBVPs.",

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AU - Sawangtong, Panumart

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N2 - This article deals with the novel method for finding solutions for the initial-boundary value problems (IBVPs), which is called the Sawangtong’s Green function homotopy perturbation method, shortly called SGHPM. The SGHPM is a method which combines the homotopy perturbation method with Green’s function method. The convergence analysis for the SGHPM is shown. Furthermore, some examples are presented to illustrate the validity of the proposed method and to ensure that SGHPM is a technique which is powerful and efficient for finding approximate analytic solutions of IBVPs.

AB - This article deals with the novel method for finding solutions for the initial-boundary value problems (IBVPs), which is called the Sawangtong’s Green function homotopy perturbation method, shortly called SGHPM. The SGHPM is a method which combines the homotopy perturbation method with Green’s function method. The convergence analysis for the SGHPM is shown. Furthermore, some examples are presented to illustrate the validity of the proposed method and to ensure that SGHPM is a technique which is powerful and efficient for finding approximate analytic solutions of IBVPs.

KW - Green’s function method

KW - Initial-boundary value problems

KW - Integral equation

KW - Sawangtong’s Green function homotopy perturbation method

UR - https://www.scopus.com/pages/publications/85073349128

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JO - Advances in Difference Equations

JF - Advances in Difference Equations

IS - 1

M1 - 419

ER -

Green’s function homotopy perturbation method for the initial-boundary value problems

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Keywords

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