we present a collocation method to obtain the approximate solutionof troesch's problem which arises in the confinement of a plasmacolumn by radiation pressure and applied physics. by using thechristov rational functions and collocation points, this methodtransforms troesch's problem into a system of nonlinear algebraicequations. the rate of convergence is shown to be exponential. then...

The aim of this study is to obtain accurate numerical results for the Troesch and Duffing equations by using Taylor wavelets. Important features method include easy implementation simple calculation. effectiveness accuracy applied illustrated solving these problems several variables. One important variable resolution parameter which enables use low degree polynomials decrease computational cost...

Abstract Three new and applicable approaches based on quasi-linearization technique, wavelet-homotopy analysis method, spectral methods, converting two-point boundary value problem to Fredholm–Urysohn integral equation are proposed for solving a special case of strongly nonlinear problems, namely Troesch problem. A technique is utilized reduce the sequence linear equations in first method. Seco...

sinc-galerkin method based upon double exponential transformation for solving troesch's problem was given in this study. properties of the sinc-galerkin approach were utilized to reduce the solution of nonlinear two-point boundary value problem to same nonlinear algebraic equations, also, the matrix form of the nonlinear algebraic equations was obtained.the error bound of the method was fo...