Features of behavior of numerical methods for solving Volterra integral equations of the second kind. (Russian, English) Zbl 1313.65330
Zh. Vychisl. Mat. Mat. Fiz. 54, No. 3, 496-502 (2014); translation in Comput. Math. Math. Phys. 54, No. 3, 505-511 (2014).
Summary: Systems of second-kind Volterra integral equations with stiff and oscillating components are considered. An implicit noniterative method of the second order is proposed for the numerical solution of such problems. The efficiency of the method is demonstrated using several examples.
MSC:
| 65R20 | Numerical methods for integral equations |
| 45D05 | Volterra integral equations |
| 45F05 | Systems of nonsingular linear integral equations |
Keywords:
Volterra integral equations of the second kind; implicit noniterative method; quadrature formula; numerical examples; systems; stiff and oscillating componentsReferences:
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