Laguerre wavelet method for solving Troesch equation | Zendy

Sevin Gümgüm | Zendy

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Laguerre wavelet method for solving Troesch equation

Author(s) -

Sevin Gümgüm

Publication year - 2019

Publication title -

balıkesir üniversitesi fen bilimleri enstitüsü dergisi

Language(s) - English

Resource type - Journals

eISSN - 2536-5142

pISSN - 1301-7985

DOI - 10.25092/baunfbed.585930

Subject(s) - laguerre polynomials , wavelet , linearization , mathematics , algebraic equation , laguerre's method , nonlinear system , mathematical analysis , computer science , physics , orthogonal polynomials , classical orthogonal polynomials , quantum mechanics , artificial intelligence

The purpose of this paper is to illustrate the use of the Laguerre wavelet method in the solution of Troesch’s equation, which is a stiff nonlinear equation. The unknown function is approximated by Laguerre wavelets and the equation is transformed into a system of algebraic equations. One of the advantages of the method is that it does not require the linearization of the nonlinear term. The problem is solved for different values of Troesch’s parameter (μ) and the results are compared with both the analytical and other numerical results to validate the accuracy of the method.

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