Title of article :
Numerical solution for initial value problems using implicit Runge-Kutta method
Author/Authors :
shahrezaee, M islamic azad university, ايران , Mesgarani, H shahid rajaee teacher training university - Faculty of science, تهران, ايران , Aghajani, S payame noor university, تهران, ايران
Abstract :
with continuous coefficients, and the initial conditions (r)(0) = ar (r = 0, 1, ..., n−1); may be re-formulated as a Volterra integral equation of the second kind. In this paper, we use the implicit Runge-Kutta method for numerical solution of Volterra integral equations of the second kind, numerical examples presented to illustrate the accuracy of the method.
Keywords :
Initial value problems , Volterra integral equations , Runge , Kutta method
Journal title :
Mathematical Sciences
Journal title :
Mathematical Sciences
