Approximating solutions of non-linear Troesch's problem via an efficient quasi-linearization Bessel approach

M Izadi, Ş Yüzbaşi, S Noeiaghdam - Mathematics, 2021 - mdpi.com
Two collocation-based methods utilizing the novel Bessel polynomials (with positive
coefficients) are developed for solving the non-linear Troesch's problem. In the first
approach, by expressing the unknown solution and its second derivative in terms of the
Bessel matrix form along with some collocation points, the governing equation transforms
into a non-linear algebraic matrix equation. In the second approach, the technique of quasi-
linearization is first employed to linearize the model problem and, then, the first collocation …

[PDF][PDF] Approximating Solutions of Non-Linear Troesch's Problem via an Efficient Quasi-Linearization Bessel Approach. Mathematics 2021, 9, 1841

M Izadi, S Yüzbasi, S Noeiaghdam - 2021 - researchgate.net
Two collocation-based methods utilizing the novel Bessel polynomials (with positive
coefficients) are developed for solving the non-linear Troesch's problem. In the first
approach, by expressing the unknown solution and its second derivative in terms of the
Bessel matrix form along with some collocation points, the governing equation transforms
into a non-linear algebraic matrix equation. In the second approach, the technique of quasi-
linearization is first employed to linearize the model problem and, then, the first collocation …
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