In this paper, we modify the idea of Haar wavelets method to obtain semi-analytical solu- tions for the systems of three-dimensional nonlinear partial differential equations. Theoret- ical considerations are discussed. To demonstrate the efficiency of the method, a test prob- lem 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 nu- merical 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.
کلید واژگان :Haar wavelet; Three-dimensional system of PDEs; Quasilinearization process; Stability analysis; Error analysis
ارزش ریالی : 600000 ریال
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