A note on optimal homotopy asymptotic method for the solutions of fractional order heat- and wave-like partial differential equations

S. Sarwar; Salem Alkhalaf; S. Iqbal; M. A. Zahid

doi:10.1016/j.camwa.2015.06.017

A note on optimal homotopy asymptotic method for the solutions of fractional order heat- and wave-like partial differential equations

S. Sarwar^*
, Salem Alkhalaf
, S. Iqbal
, M. A. Zahid

^*Corresponding author for this work

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

65 Scopus citations

Abstract

Optimal homotopy asymptotic method (OHAM) is prolifically implemented to find the optimal solutions of fractional order heat- and wave-like equations. We inspect the competence of the method by examining fractional order time dependent partial differential equations. It is observed that OHAM is a prevailing and convergent method for the solutions of linear and nonlinear fractional order time dependent partial differential problems. The numerical results rendering that the applied method is explicit, effective and easy to use, for handling more general fractional order heat- and wave-like models.

Original language	English
Pages (from-to)	942-953
Number of pages	12
Journal	Computers and Mathematics with Applications
Volume	70
Issue number	5
DOIs	https://doi.org/10.1016/j.camwa.2015.06.017
State	Published - 1 Sep 2015
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2015 Elsevier Ltd.

Keywords

Fractional calculus
Heat-like equations
Optimal solutions
Wave-like equations

ASJC Scopus subject areas

Modeling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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10.1016/j.camwa.2015.06.017

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title = "A note on optimal homotopy asymptotic method for the solutions of fractional order heat- and wave-like partial differential equations",

abstract = "Optimal homotopy asymptotic method (OHAM) is prolifically implemented to find the optimal solutions of fractional order heat- and wave-like equations. We inspect the competence of the method by examining fractional order time dependent partial differential equations. It is observed that OHAM is a prevailing and convergent method for the solutions of linear and nonlinear fractional order time dependent partial differential problems. The numerical results rendering that the applied method is explicit, effective and easy to use, for handling more general fractional order heat- and wave-like models.",

keywords = "Fractional calculus, Heat-like equations, Optimal solutions, Wave-like equations",

author = "S. Sarwar and Salem Alkhalaf and S. Iqbal and Zahid, \{M. A.\}",

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T1 - A note on optimal homotopy asymptotic method for the solutions of fractional order heat- and wave-like partial differential equations

AU - Sarwar, S.

AU - Alkhalaf, Salem

AU - Iqbal, S.

AU - Zahid, M. A.

PY - 2015/9/1

Y1 - 2015/9/1

N2 - Optimal homotopy asymptotic method (OHAM) is prolifically implemented to find the optimal solutions of fractional order heat- and wave-like equations. We inspect the competence of the method by examining fractional order time dependent partial differential equations. It is observed that OHAM is a prevailing and convergent method for the solutions of linear and nonlinear fractional order time dependent partial differential problems. The numerical results rendering that the applied method is explicit, effective and easy to use, for handling more general fractional order heat- and wave-like models.

AB - Optimal homotopy asymptotic method (OHAM) is prolifically implemented to find the optimal solutions of fractional order heat- and wave-like equations. We inspect the competence of the method by examining fractional order time dependent partial differential equations. It is observed that OHAM is a prevailing and convergent method for the solutions of linear and nonlinear fractional order time dependent partial differential problems. The numerical results rendering that the applied method is explicit, effective and easy to use, for handling more general fractional order heat- and wave-like models.

KW - Fractional calculus

KW - Heat-like equations

KW - Optimal solutions

KW - Wave-like equations

UR - https://www.scopus.com/pages/publications/84945118742

U2 - 10.1016/j.camwa.2015.06.017

DO - 10.1016/j.camwa.2015.06.017

M3 - Article

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SN - 0898-1221

VL - 70

SP - 942

EP - 953

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 5

ER -

A note on optimal homotopy asymptotic method for the solutions of fractional order heat- and wave-like partial differential equations

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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