A two-dimensional Haar wavelets method for solving systems of PDEs

Somayeh Arbabi, Akbar Nazari and Mohammad Taghi Darvishi

Applied Mathematics and Computation, 2017, vol. 292, issue C, 33-46

Abstract: In this paper, we modify the idea of Haar wavelets method to obtain semi-analytical solutions for the systems of three-dimensional nonlinear partial differential equations. Theoretical considerations are discussed. To demonstrate the efficiency of the method, a test problem is presented. The approximate solutions of the system of three-dimensional nonlinear partial differential equations are compared with the exact solutions as well as existing numerical solutions found in the literature. The numerical solutions which are obtained using the suggested method show that numerical solutions are in a very good coincidence with the exact solutions.

Keywords: Haar wavelet; Three-dimensional system of PDEs; Quasilinearization process; Stability analysis; Error analysis (search for similar items in EconPapers)
Date: 2017
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:292:y:2017:i:c:p:33-46

DOI: 10.1016/j.amc.2016.07.032

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