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.
Mehdiyeva, Galina; Imanova, Mehriban; and Ibrahimov, Vagif
"Solving Volterra Integro-Differential Equation by the Second Derivative Methods,"
Applied Mathematics & Information Sciences: Vol. 09
, Article 36.
Available at: https://dc.naturalspublishing.com/amis/vol09/iss5/36