On numerical solution of one class of singular integral-differential equations. (Russian. English summary) Zbl 1212.65513
Summary: We consider the Cauchy problem for systems of integral-differential equations with everywhere singular matrix in the higher derivative, which have a unique continuously differentiable solution. For such problems, we propose a numerical method, based on the implicit Euler method, and quadrature rectangular formula.
MSC:
65R20 | Numerical methods for integral equations |
45J05 | Integro-ordinary differential equations |
45F15 | Systems of singular linear integral equations |