We propose two-dimensional Hermite wavelet method for solving some applications of partial differential equations. Kronecker tensor product has been utilized to resolve and control huge matrices operations and calculations. Proposed method is based on the approximation of largest mixed derivatives of the given partial differential equation into a series of two-dimensional Hermite wavelet basis functions. To validate the efficiency and accuracy of the proposed technique, some numerical examples are presented.

Hermite wavelets, function approximation, convergence analysis, numerical illustrations.

Received: June 17, 2022; Revised: August 5, 2022; Accepted: August 17, 2022; Published: September 16, 2022

How to cite this article: Inderdeep Singh and Manbir Kaur, 2D-wavelets based efficient scheme for solving some PDEs, Advances in Differential Equations and Control Processes 29 (2022), 27-45. http://dx.doi.org/10.17654/0974324322032

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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