首页|Block boundary value methods for solving linear neutral Volterra integro-differential equations with weakly singular kernels
Block boundary value methods for solving linear neutral Volterra integro-differential equations with weakly singular kernels
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NSTL
Elsevier
A class of block boundary value methods is constructed for the solution of linear neutral Volterra integro-differential equations with weakly singular kernels. Under suitable conditions on the data, it is shown that these methods yield optimal convergence rates when implemented on special graded meshes. Furthermore, these methods are easily extended to solve linear Volterra integral equations of the 2nd kind with weakly singular kernels. Numerical experiments confirm the theoretical results and the accuracy of the methods, and a comparison with piecewise polynomial collocation methods is provided. (C) 2021 Elsevier B.V. All rights reserved.
Block boundary value methodsLinear neutral Volterra integro-differential equationsLinear Volterra integral equationsWeakly singular kernelGraded meshOrdinary differential equationsSPLINE COLLOCATION METHODSCONVERGENCESTABILITYMULTISTEP
NSTL
Elsevier
