A note on solving integro-differential equation with Cauchy kernel. (English) Zbl 1205.45004
Summary: This paper investigates the numerical solution for a class of integro-differential equations with Cauchy kernel by using airfoil polynomials of the first kind. According to this method, we obtain a system of linear algebraic equations. We give some sufficient conditions for the convergence of this method. Finally, we investigate the computational performance of our approach through some numerical examples.
MSC:
| 45E05 | Integral equations with kernels of Cauchy type |
| 65R20 | Numerical methods for integral equations |
| 45L05 | Theoretical approximation of solutions to integral equations |
Keywords:
airfoil polynomials; Cauchy kernel; integro-differential equations; projection approximations; Hölder spacesReferences:
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