Laguerre wavelet method for solving Troesch equation

Abstract

The purpose of this paper is to illustrate the use of the Laguerre wavelet method in thesolution of Troesch’s equation, which is a stiff nonlinear equation. The unknownfunction is approximated by Laguerre wavelets and the equation is transformed into asystem of algebraic equations. One of the advantages of the method is that it does notrequire the linearization of the nonlinear term. The problem is solved for differentvalues of Troesch’s parameter (??) and the results are compared with both the analyticaland other numerical results to validate the accuracy of the method.