# On the solution of one-dimensional heat equation with higher-order non-central finite difference method of lines

### Abstract

In this paper, a one-dimensional heat equation with Dirichlet boundary condition is solved using the method of lines where the discretization is made with the help of higher-order noncentral finite difference approximation method. During imposing higher-order approximation method, the specification of the values of the field variable at some exterior points outside the domain are required which are made using proper assumption. It is found that the attained results agree well with the exact solution on the basis of the root mean square errors.

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**Menemui Matematik (Discovering Mathematics)**, [S.l.], v. 45, n. 2, p. 200-207, nov. 2023. ISSN 0126-9003. Available at: <https://myjms.mohe.gov.my/index.php/dismath/article/view/24754>. Date accessed: 26 july 2024.

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