A Novel Approach to Find the Analytical Solution of 2+1-Dimensional Physical Models

In this paper, a new iterative transform technique with ρ -Laplace transform is applied to gain the approximate solutions of time-fractional ( 2 + 1 )-dimensional physical models. The derivative is considered in the generalized Caputo derivative sense. The proposed scheme is a hybrid methodology of...

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Bibliographic Details
Published in:International journal of applied and computational mathematics 2023, Vol.9 (5)
Main Authors: Agarwal, Garima, Yadav, Lokesh Kumar, Nisar, Kottakkaran Sooppy
Format: Article
Language:English
Subjects:
Applications of Mathematics
Applied mathematics
Computational mathematics
Computational Science and Engineering
Exact solutions
Graphical representations
Iterative methods
Laplace transforms
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Nuclear Energy
Operations Research/Decision Theory
Original Paper
Theoretical
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Summary:In this paper, a new iterative transform technique with ρ -Laplace transform is applied to gain the approximate solutions of time-fractional ( 2 + 1 )-dimensional physical models. The derivative is considered in the generalized Caputo derivative sense. The proposed scheme is a hybrid methodology of ρ -Laplace transform and the new iterative method. The numerical solutions of various targeted problems are represented by graphs, which describe closed contact between the obtained series solutions and the exact solution of the problems. The impact of ρ and order δ on the approximate solutions of time-fractional ( 2 + 1 )-dimensional physical models was also investigated.
ISSN:2349-5103
2199-5796
DOI:10.1007/s40819-023-01596-2