Approximating Solutions of Non-Linear Troesch’s Problem via an Efficient Quasi-Linearization Bessel Approach

Two collocation-based methods utilizing the novel Bessel polynomials (with positive coefficients) are developed for solving non-linear Troesch’s problem. In first approach, by expressing unknown solution and its second derivative in terms of matrix form along with some collocation points, governing equation transforms into a algebraic equation. technique quasi-linearization is employed to linearize model problem and, then, method applied sequence linearized equations iteratively. latter we require solve linear each iteration. Moreover, error analysis series established. end, numerical simulations computational results provided illustrate utility applicability presented approaches. Numerical comparisons existing available performed validate our results.