A Comparison of Implicit and Modified Implicit Finite Difference Schemes for Solving Parabolic Equations
Omowo Babajide Johnson, Longe Idowu Oluwaseun, Osakwe Charles Nnamdi, Amuno Elo Oghale, Ejeh Michael Chukwuma
Asian Research Journal of Mathematics · pp. 1–10 · Published 15 Jul 2022
10.9734/arjom/2022/v18i1030413Abstract
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.
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