An Innovative computational method for Solving Partial Differential Equations

This study presents a new technique through which the approximate analytical solution of homogeneous and non-homogeneous nonlinear partial differential equations can be obtained. The basic idea of this approach is based on Taylor series. The convergence of the approximate solution of this technique to the exact solution of differential equations has been discussed, and numerical solutions and graphs have been presented to show the effectiveness of this method.

Authors

Publication Details

Journal
Journal of Information Systems Engineering & Management
Published
2025-04-17
DOI
https://doi.org/10.52783/jisem.v10i37s.6757
Primary Topic
Numerical methods for differential equations
Type
article
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article

An Innovative computational method for Solving Partial Differential Equations

A. K. Mutashar
Journal of Information Systems Engineering & Management
Numerical methods for differential equations
article

An Innovative computational method for Solving Partial Differential Equations

A. K. Mutashar
article en

Abstract

This study presents a new technique through which the approximate analytical solution of homogeneous and non-homogeneous nonlinear partial differential equations can be obtained. The basic idea of this approach is based on Taylor series. The convergence of the approximate solution of this technique to the exact solution of differential equations has been discussed, and numerical solutions and graphs have been presented to show the effectiveness of this method.

Journal of Information Systems Engineering & ManagementVol. 10(37s)
Openalex Percentile: Top 87%
Numerical methods for differential equations
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An Innovative computational method for Solving Partial Differential Equations — A. K. Mutashar · Journal of Information Systems Engineering & Management (2025) | TGRS Research Map | TGRS