Solving mixed singular integro-differential equation (IDE) using the finite elements method
نویسندگان
1 Department of Mathematics College of Science University of Baghdad.
2 Department of Science, School of Mathematical Sciences,University of Zabol, Zabol, Iran.
3 Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.
doi
10.22067/ijnao.2024.89654.1503چکیده
In this work, we describe a new method for the calculation of the numerical solution of the mixed singular integro-differential equation. The method is mainly based on a finite element approximation. For this purpose, we obtain the variational form of the problem under consideration. The result-ing system has been approximated numerically by linear B-spline function. The method of convergence and its order of convergence are established. Finally, to investigate the accuracy of the proposed method some test ex-amples are presented. The numerically obtained results are compared with another method for the validity of our results and shown by some tables and figures.
