ABSTRACT A new algorithm is presented for solving Troesch's problem. The numerical
scheme based on the sinc-collocation technique is deduced. The equation is reduced to …

In this article, we consider the finite element method (FEM) for two‐dimensional linear time‐
fractional Tricomi‐type equations, which is obtained from the standard two‐dimensional …

Several problems arising in science and engineering are modeled by differential equations
that involve conditions that are specified at more than one point. The non-linear two-point …

The article introduces a new multistage technique for solving a polynomial system of
nonlinear initial and boundary value problems of differential equations. The radius of …

The aim of this study is obtain accurate numerical results for the Troesch and Duffing
equations by using Taylor wavelets. Orthonormality property of these polynomials is an …

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In this paper, the reproducing kernel Hilbert space method (RKHSM) is applied for solving
Troesch's problem. We used numerical examples to illustrate the accuracy and …

This paper presents a study of the performance of the collocation method using Chebychev
basis functions for solving Troesch's problem. Some numerical experiments are made …

In this paper we propose a new discontinuous Galerkin finite element (DG) method to solve
Troesch's problem, which is highly sensitive for large values of the parameter. This two-point …

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 …