Methods of high order accuracy of the Cauchy problem solution for nonlinear integro-differential Volterr equations

Abstract

The new applications of continued fraction to the development of numerical methods for the solution of integrodifferential equations are considered. The numerical methods of high-order accuracy for the solution of initial-value problems in Volterra integro-differential equations are proposed.

Keywords

• nonlinear integral-differential equations Volterra
• Felberg transformation
• Taylor series