Application of Haar Scale-3 Wavelet Method to the Solution of Buckmaster and Chaffee-Infante nonlinear PDE Provisionally Accepted
Sonia Arora1*
- 1Lovely Professional University, India
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.
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* Correspondence: Mx. Sonia Arora, Lovely Professional University, Phagwara, India