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Solving Volterra Integro-Differential Equation by the Second Derivative Methods |
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PP: 2521-2527 |
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Author(s) |
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Galina Mehdiyeva,
Mehriban Imanova,
Vagif Ibrahimov,
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Abstract |
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| As is known, the solution of some problems of ecology, geophysics, nuclear physics, the study of some seasonal distribution
of the disease and so on, reduced to solving of integro-differential equations of higher order. Note that solving of these equations
can be reduced to solving system of integro-differential equations of the first order. However, special techniques adapted to solving
of equations of higher order are usually effective. So here is investigated the numerical solution of integro-differential equations of
second order. Prove that there are methods specially adapted to solving of integro-differential equations of second order, which are
more accurate than the methods constructed to solving the system consisted from the integro-differential equations of first order or
the system consisted from the integral and differential equations. For illustration this result constructed concrete methods, which are
applied to solving model problem. |
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