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ORIGINAL RESEARCH article

Front. Appl. Math. Stat.
Sec. Mathematical Physics
Volume 10 - 2024 | doi: 10.3389/fams.2024.1412181

Application of Haar Scale-3 Wavelet Method to the Solution of Buckmaster and Chaffee-Infante nonlinear PDE

Provisionally accepted
Ratesh Kumar Ratesh Kumar Sonia Arora Sonia Arora *
  • Lovely Professional University, Phagwara, India

The final, formatted version of the article will be published soon.

    A novel Haar scale-3 wavelet collocation technique is proposed in this paper for dealing with a specific type of parabolic Buckmaster second-order nonlinear partial differential equation in a dispersive System and Chafee-Infante Second order nonlinear partial differential equation (PDE) in a solitary system.Using Haar scale-3 (HSW-3) wavelets, the system approximates the space and time derivatives. To develop both an implicit and explicit analytical model for the dispersive and solitary system, the collocation approach is employed in conjunction with the discretization of space and time variables. We have examined the effectiveness, applicability, and veracity of the proposed computational approach using a variety of numerical problems with nonlinearity and numerous significant source terms.Additionally, the outcomes are graphically presented and organized. We achieve accuracy with the proposed methods even with a small selection of collocation locations.

    Keywords: Quasilinearization technique, Buckmaster, Collocation points, Dispersive system, Solitary System

    Received: 04 Apr 2024; Accepted: 03 May 2024.

    Copyright: © 2024 Kumar and Arora. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

    * Correspondence: Sonia Arora, Lovely Professional University, Phagwara, India

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