A Robust Numerical Approach for Singularly Perturbed Problem with Integral Boundary Condition

Authors : Derya Arslan

Pages : 1647-1656

Doi:10.35378/gujs.935885

View : 350 | Download : 524

Publication Date : 2023-12-01

Article Type : Research Paper

Abstract :In this research, the numerical integral method procedure on uniform mesh is used to solve the singularly perturbed problem which has integral boundary value. This method also includes the trapezoid method, the finite difference method, and the Thomas algorithm. The problem is converted to finite difference problem by using finite difference approximations and trapezoid method. Finally, the convergence of the presented method is analyzed through sample application. Thus, the correctness and sufficiency of the method are shown.
Keywords : the finite difference method, SingularLy Perturbed Problem, Trapezoidal Method, boundary layer, Numerical integral method, Singularly perturbed problem, Finite difference method, Trapezoidal method, Uniform mesh