A Comparison of Implicit and Modified Implicit Finite Difference Schemes for Solving Parabolic Equations
Omowo Babajide Johnson *
Department of Mathematics, Nasarawa State University, Keffi, Nigeria.
Longe Idowu Oluwaseun
Department of Statistics, Federal Polytechnic Ile-Oluji, Ondo State, Nigeria.
Osakwe Charles Nnamdi
Department of Mathematics, Nasarawa State University, Keffi, Nigeria.
Amuno Elo Oghale
Department of Mathematics, Nasarawa State University, Keffi, Nigeria.
Ejeh Michael Chukwuma
Department of Mathematics, Nasarawa State University, Keffi, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
This paper presents the comparison of implicit scheme and modied implicit scheme for solving parabolic partial differential 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 differential equations.
Keywords: Implicit scheme, stability, local truncation error, modied implicit scheme, parabolic equations