General Maple Code for Solving Scalar Linear Neutral Delay Differential Equations

Document Type : Regular Articles

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Mathematics Department, Faculty of Science, Minia University, Minia 61519, Egypt

Abstract

The objective is to demonstrate how to create straightforward Maple programs for numerical computations and programs for condensing or changing mathematical formulas, polynomials, or symbolic expressions. It is assumed that readers are accustomed to using interactive Maple. The programming language used in Maple is interpreted and interactive. Due to the overhead of the interpreter, Maple is not appropriate for running programs that require a lot of numbers. Although it can be used to create numerical codes and for high-precision numerical calculations. This paper uses Maple’s general code to compute the method of steps (MoS) solution of linear neutral and delay differential equations (DDEs). The paper relies on entering simple inputs to get a quick result explained by theoretical solutions and their graphics. A Maple symbolic computation was more efficient than a programming language computation for linear non-neutral DDEs. Maple was faster at solving linear neutral DDEs, which are usually more challenging. Using the MoS methodology, we list and talk about various examples of non-neutral DDEs and NDDEs reported in the literature.

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