Linear multi-step methods for first kind first order volterra integro-differential equations

Abstract

Arbitrary order LMS methods for first kind first order VIDE are presented. A convergence result is given and the method is illustrated with three numerical examples.

Keywords:

• Ordinary differential equations
• first order Volterra integro-differential equations
• convergent methods

^†supported by NSERC by Canada under grant A8196.

^†supported by NSERC by Canada under grant A8196.

Notes

^†supported by NSERC by Canada under grant A8196.