A Comparison of Implicit and Modified Implicit Finite Difference Schemes for Solving Parabolic Equations

Abstract

This paper presents the comparison of implicit scheme and modied implicit scheme for solving parabolic partial dierential equations, the modied implicit scheme is compared with the implicit scheme using its stability, local truncation error, derivation and numerical examples. Following this, it was discovered that the modied implicit scheme can be used as an alternative scheme to the implicit scheme for solving problems on parabolic partial dierential equations.