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Article
Bernoulli Wavelets Numerical Approach for the Nonlinear Klein–Gordon and Benjamin–Bona–Mahony Equation
The paper is concerned with different classes of partial differential equations (PDEs), such as nonlinear Benjamin–Bona–Mahony and Klein–Gordon equations with variable coefficients. We developed a new integra...
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Article
A Study on the Non-Linear Murray Equation Through the Bernoulli Wavelet Approach
In this paper, we developed the operational matrices of integration based on the Bernoulli wavelets and proposed the novel technique known as the Bernoulli wavelet collocation method (BWCM) for extended bounda...
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Article
Application of Hermite Wavelet Method and Differential Transformation Method for Nonlinear Temperature Distribution in a Rectangular Moving Porous Fin
We developed a novel technique called the Hermite wavelet collocation method (HWM) in the current work. Here, the variation of nonlinear temperature in a permeable moving fin of the rectangular domain is studi...
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Article
Novel Functional Matrix Method using Standard Basis of Polynomial Linear Space
This paper has developed a novel functional matrix using the standard basis of \((n+1)\) ...
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Article
Numerical Solution for Nonlinear Klein–Gordon Equation via Operational Matrix by Clique Polynomial of Complete Graphs
This study introduced a generalized operational matrix using Clique polynomials of a complete graph and proposed the latest approach to solve the nonlinear Klein–Gordon (KG) equation. KG equations describe man...
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Article
Laguerre Wavelets Exact Parseval Frame-based Numerical Method for the Solution of System of Differential Equations
In this study, the Laguerre wavelets exact Parseval frame is introduced and proposed an effective numerical algorithm to get a numerical solution for the system of differential equations based on the Laguerre ...
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Article
Some Results on Shannon Wavelets and Wavelets Frames
In this article, Shannon wavelets are studied together with their properties and we focused on Shannon wavelets and scalar functions through linear algebraic concept such as linearly independent, nested proper...
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Article
Cardinal B-Spline Wavelet Based Numerical Method for the Solution of Generalized Burgers–Huxley Equation
In this paper, Cardinal B-spline wavelet numerical method is developed for the solution of Generalized Burgers–Huxley(GBH) Equation. It is a new approach for the accurate numerical solution of the GBH equation...