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A Numerical Investigation of Systems of Partial Differential Equations Under Non-Singular Kernel |
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PP: 641-652 |
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doi:10.18576/pfda/110401
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Author(s) |
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Nisha Meena,
Shilpy Jain,
Yogesh Khandelwal,
Murli Manohar Gour,
Praveen Agarwal,
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Abstract |
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| This article investigates systems of nonlinear fractional partial
differential equations (NFPDEs) utilizing the Shehu Adomian decomposition method (STDM) with a non-singular kernel. The STDM is combining the Shehu transform method with the Adomian decomposition method, providing exact and analytical solutions of systems of nonlinear fractional partial differential equations. The convergence and existence results for the suggested technique are presented. Two numerical examples are used to demonstrate the reliability and efficacy of proposed technique using Matlab software. The findings demonstrate that accurate and reliable approximations can be achieved in only a few terms. |
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