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A numerical method for the solution of certain classes of nonlinear Volterra integro‐differential and integral equations
Author(s) -
Prosperetti Andrea
Publication year - 1977
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620110304
Subject(s) - mathematics , volterra integral equation , integro differential equation , mathematical analysis , integral equation , differential equation , nonlinear system , riccati equation , physics , quantum mechanics
A direct numerical method is presented for the solution of classes of non‐linear, singular Volterra integral and integro‐differential equations of the typeswhere y is the unknown and the F s and G s are given but to a large extent arbitrary functions of their arguments. The adaptation of the method to other equations, in particular with different kernels, is immediate.