Solving time fractional partial differential equations using Shehu transform with q-homotopy analysis approach

In this paper, the time-fractional non-linear partial differential equations are solved by employing the q-homotopy analysis Shehu transform technique (q-HAShTM). The insignificance between the exact and numerical solutions is demonstrated through the use of tables and graphs. Several examples have...

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Bibliographic Details
Main Authors: Kumar, Ajay, Meher, Ramakanta
Format: Conference Proceeding
Language:English
Subjects:
Homotopy theory
Nonlinear differential equations
Partial differential equations
Online Access:Get full text
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Summary:In this paper, the time-fractional non-linear partial differential equations are solved by employing the q-homotopy analysis Shehu transform technique (q-HAShTM). The insignificance between the exact and numerical solutions is demonstrated through the use of tables and graphs. Several examples have been provided to illustrate the numerical results, which include a contrast between the exact and numerical solutions. Our findings show that this novel approach is not only effective, but also straightforward and generalizable to a wide variety of non-linear problems. In addition, this technique is distinguished by its ease of use, quickness, and accuracy in generating numerical data.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0234337