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A software package for the numerical solution of systems of essentially nonlinear ordinary integro-differential-algebraic equations. (Russian. English summary) Zbl 1274.65227
A method, an algorithm and a software package consisting of two programs for the solution of the Cauchy problem for a system of sufficiently nonlinear ordinary integro-differential-algebraic equations are shortly described. It is supposed that a complete sample of necessary initial and/or boundary conditions is known. By differentiation, the ordinary integro-differential-algebraic equations can be transform to sufficiently nonlinear integro-differential equations. The problem of solving the system of equations obtained on a uniform mesh of the interval of integration is formulated and realized for test examples.
MSC:
65L80 Numerical methods for differential-algebraic equations
34A34 Nonlinear ordinary differential equations and systems, general theory
34B15 Nonlinear boundary value problems for ordinary differential equations
Software:
DASSL
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Full Text: MNR