An efficient numerical method for solving linear and nonlinear partial differential equations by combining homotopy analysis and transform method

Muhammad Asif Gondal; A. S. Arife; Majid Khan; Iqtadar Hussain

An efficient numerical method for solving linear and nonlinear partial differential equations by combining homotopy analysis and transform method

Muhammad Asif Gondal, A. S. Arife, Majid Khan, Iqtadar Hussain

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

27 Scopus citations

Abstract

In this article, we propose a reliable combination of Homotopy analysis method (HAM) and Laplace decomposition method (LDM) to solve linear and nonlinear partial differential equations effectively with less computation. The proposed method is called homotopy analysis transform method (HATM). This study represents significant features of HATM and its capability of handling linear and nonlinear partial differential equations.

Original language	English
Pages (from-to)	1786-1791
Number of pages	6
Journal	World Applied Sciences Journal
Volume	14
Issue number	12
State	Published - 2011
Externally published	Yes

Keywords

Homotopy analysis method
Homotopy analysis transform method
Laplace decomposition method
Linear and nonlinear partial differential equations

Cite this

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title = "An efficient numerical method for solving linear and nonlinear partial differential equations by combining homotopy analysis and transform method",

abstract = "In this article, we propose a reliable combination of Homotopy analysis method (HAM) and Laplace decomposition method (LDM) to solve linear and nonlinear partial differential equations effectively with less computation. The proposed method is called homotopy analysis transform method (HATM). This study represents significant features of HATM and its capability of handling linear and nonlinear partial differential equations.",

keywords = "Homotopy analysis method, Homotopy analysis transform method, Laplace decomposition method, Linear and nonlinear partial differential equations",

author = "Gondal, \{Muhammad Asif\} and Arife, \{A. S.\} and Majid Khan and Iqtadar Hussain",

year = "2011",

language = "English",

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pages = "1786--1791",

journal = "World Applied Sciences Journal",

issn = "1818-4952",

publisher = "International Digital Organization for Scientific Information",

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TY - JOUR

T1 - An efficient numerical method for solving linear and nonlinear partial differential equations by combining homotopy analysis and transform method

AU - Gondal, Muhammad Asif

AU - Arife, A. S.

AU - Khan, Majid

AU - Hussain, Iqtadar

PY - 2011

Y1 - 2011

N2 - In this article, we propose a reliable combination of Homotopy analysis method (HAM) and Laplace decomposition method (LDM) to solve linear and nonlinear partial differential equations effectively with less computation. The proposed method is called homotopy analysis transform method (HATM). This study represents significant features of HATM and its capability of handling linear and nonlinear partial differential equations.

AB - In this article, we propose a reliable combination of Homotopy analysis method (HAM) and Laplace decomposition method (LDM) to solve linear and nonlinear partial differential equations effectively with less computation. The proposed method is called homotopy analysis transform method (HATM). This study represents significant features of HATM and its capability of handling linear and nonlinear partial differential equations.

KW - Homotopy analysis method

KW - Homotopy analysis transform method

KW - Laplace decomposition method

KW - Linear and nonlinear partial differential equations

UR - http://www.scopus.com/inward/record.url?scp=84864920956&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84864920956

SN - 1818-4952

VL - 14

SP - 1786

EP - 1791

JO - World Applied Sciences Journal

JF - World Applied Sciences Journal

IS - 12

ER -

An efficient numerical method for solving linear and nonlinear partial differential equations by combining homotopy analysis and transform method

Abstract

Keywords

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