The method of lines for parabolic integro-differential equations

摘要: This paper introduces an efficient numerical scheme  for solving a significant class of  nonlinear parabolic integro-differential equations (PIDEs). The major contributions made in this are applying direct approach based on combination of   group preserving scheme (GPS) and  spectral meshless radial point interpolation (SMRPI) method   to transcribe the partial differential problem under study into system of ordinary (ODEs). resulting is then solved by employing method lines, which also well-developed method.   Two experiments carried out evaluate performance and effectiveness suggested framework.