Sinc approximation for solving fourth-order pseudo-Poisson equations


  • Nureddin Majed Al-haliji Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran



Sinc approximation, Pseudo-Poisson problem, numerical approximation


In this article, we will investigate the Galerkin sinc approximation to solve the single pseudo-Poisson problem and in this method we will reach a linear system. We will solve this system by carefully choosing the length of the steps and the number of nodal points and with two methods; the first method, which is the usual method, is theoretically flawed and not practical and computationally efficient. Therefore, to solve the mentioned system, we introduce the orthogonalization technique, which solves both theoretical and computational problems. Numerical approximation is obtained whose accuracy is exponential and of order  where N is a transaction parameter and c is a constant independent of N. In the final part, we give some numerical examples of individual pseudo-Poisson problems to demonstrate the efficiency of the method.


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How to Cite

Majed Al-haliji, N. (2024). Sinc approximation for solving fourth-order pseudo-Poisson equations. Journal of Al-Qadisiyah for Computer Science and Mathematics, 16(1), Math. 84–92.



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