HAAR WAVELET QUASILINEARIZATION METHOD FOR SOLVING NONLINEAR TROESCH’S AND BRATU’S PROBLEMS

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ZAREBNIA MOHAMMAD; BARANDAK IMCHEH HOSEIN

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Journal Paper

Paper Information

Journal: ADVANCES IN MATHEMATICAL MODELING Year:2018 | Volume:2 | Issue:2 Page(s): 85-102

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Information Journal Paper

Title

HAAR WAVELET QUASILINEARIZATION METHOD FOR SOLVING NONLINEAR TROESCH’S AND BRATU’S PROBLEMS

Author(s)

ZAREBNIA MOHAMMAD | BARANDAK IMCHEH HOSEIN | Issue Writer Certificate

Keywords

HAAR WAVELETQ1

OPERATIONAL MATRIXQ1

QUASILINEARIZATIONQ1

TROESCH’S PROBLEMQ1

BRATU’S PROBLEMQ1

Abstract

In this paper, we present a numerical method for solving nonlinear Troesch’s and BRATU’S PROBLEMs. QUASILINEARIZATION process together with HAAR WAVELET approximation are employed to convert a nonlinear problem intoa set of linear algebraic equations. Several examples are given. We compare obtained computational results with available numerical and exact solutions found in the literature. Also numerical results are given in tables and figures and it is shown that the HAAR WAVELET QUASILINEARIZATION (HWQ) approach is very attractive, convenient and effective.

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APA: Copy

ZAREBNIA, MOHAMMAD, & BARANDAK IMCHEH, HOSEIN. (2018). HAAR WAVELET QUASILINEARIZATION METHOD FOR SOLVING NONLINEAR TROESCH’S AND BRATU’S PROBLEMS. ADVANCES IN MATHEMATICAL MODELING, 2(2 ), 85-102. SID. https://sid.ir/paper/243863/en

Vancouver: Copy

ZAREBNIA MOHAMMAD, BARANDAK IMCHEH HOSEIN. HAAR WAVELET QUASILINEARIZATION METHOD FOR SOLVING NONLINEAR TROESCH’S AND BRATU’S PROBLEMS. ADVANCES IN MATHEMATICAL MODELING[Internet]. 2018;2(2 ):85-102. Available from: https://sid.ir/paper/243863/en

IEEE: Copy

MOHAMMAD ZAREBNIA, and HOSEIN BARANDAK IMCHEH, “HAAR WAVELET QUASILINEARIZATION METHOD FOR SOLVING NONLINEAR TROESCH’S AND BRATU’S PROBLEMS,” ADVANCES IN MATHEMATICAL MODELING, vol. 2, no. 2 , pp. 85–102, 2018, [Online]. Available: https://sid.ir/paper/243863/en

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