Solution of Differential Equations by Using Legendre Wavelet Operational Matrix of Integration

In this paper, the operational matrix of integration using the Legendre wavelet has been introduced and it is used to solve different types of linear and non-linear differential equations. The solution obtained by the Legendre wavelet operational matrix of integration is compared with the exact solu...

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Bibliographic Details
Published in:International journal of applied and computational mathematics 2022-06, Vol.8 (3), Article 112
Main Authors: Sharma, Vivek Kumar, Lal, Shyam
Format: Article
Language:English
Subjects:
Applications of Mathematics
Applied mathematics
Computational mathematics
Computational Science and Engineering
Exact solutions
Mathematical analysis
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Nonlinear differential equations
Nuclear Energy
Operations Research/Decision Theory
Original Paper
Theoretical
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Summary:In this paper, the operational matrix of integration using the Legendre wavelet has been introduced and it is used to solve different types of linear and non-linear differential equations. The solution obtained by the Legendre wavelet operational matrix of integration is compared with the exact solution to show the usefulness of the method.
ISSN:2349-5103
2199-5796
DOI:10.1007/s40819-022-01310-8