Exploring the Efficiency of the q-Homotopy Analysis Transform Method for Solving a Fractional Initial Boundary Value Problem with a Nonlocal Condition

This article employs the q-homotopy analysis transformation method (q-HATM) to numerically solve, subject to an integral condition, a fractional IBVP. The resulting numerical scheme is applied to solve, in which the exact solution is obtained, several test examples in order to illustrate its efficie...

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Bibliographic Details
Published inAxioms Vol. 12; no. 8; p. 790
Main Authors Mesloub, Said, Alsaud, Huda
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.08.2023
Subjects
auxiliary parameter
Bessel operator
Boundary value problems
Control theory
Efficiency
Exact solutions
fractional derivative
Homotopy theory
Laplace transform
Laplace transforms
numerical scheme
Partial differential equations
Power
q-homotopy
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Summary:This article employs the q-homotopy analysis transformation method (q-HATM) to numerically solve, subject to an integral condition, a fractional IBVP. The resulting numerical scheme is applied to solve, in which the exact solution is obtained, several test examples in order to illustrate its efficiency.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms12080790