Solution of non linear Fredholm integral equation involving constant delay by BEM with piecewise linear approximation

Abstract

This paper provides a methodology to solve a non linear Fredholm integral equation involving constant delay. Hybridization of boundary element method (BEM) along with piecewise linear approximation method is considered to resolve the nonlinearity. This simple technique provides a good approximation to non linear integral equations involving constant delay. Variation of constant delay term and efficiency of the method is also discussed via few suitable numerical examples.

Subject Classification:

• 45G10

Keywords:

• Fredholm integral equation
• Constant delay
• BEM
• Boundary element method
• Piecewise linear approximation