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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...

    S. Kumbinarasaiah, Mallanagoud Mulimani in International Journal of Applied and Compu… (2023)

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    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...

    S. Kumbinarasaiah, Mallanagoud Mulimani in International Journal of Applied and Compu… (2023)

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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...

    K. R. Raghunatha, S. Kumbinarasaiah in International Journal of Applied and Compu… (2022)

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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 \((n+1)\) ...

    S. Kumbinarasaiah in International Journal of Applied and Computational Mathematics (2021)

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    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...

    S. Kumbinarasaiah, H. S. Ramane, K. S. Pise in International Journal of Applied and Compu… (2021)

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    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 ...

    S. C. Shiralashetti, S. Kumbinarasaiah in International Journal of Applied and Compu… (2020)

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    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...

    S. C. Shiralashetti, S. Kumbinarasaiah in International Journal of Applied and Compu… (2019)

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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...

    S. C. Shiralashetti, S. Kumbinarasaiah in International Journal of Applied and Compu… (2018)