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Solution of prey–predator problem by numeric–analytic technique

✍ Scribed by M.S.H. Chowdhury; I. Hashim; S. Mawa


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
162 KB
Volume
14
Category
Article
ISSN
1007-5704

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✦ Synopsis


In this paper, an analytical expression for the solution of the prey-predator problem by an adaptation of the classical Adomian decomposition method (ADM). The ADM is treated as an algorithm for approximating the solution of the problem in a sequence of time intervals, i.e. the classical ADM is converted into a hybrid numeric-analytic method called the multistage ADM (MADM). Numerical comparisons with the classical ADM, and the classical fourth-order Rungge-Kutta (RK4) methods are presented.


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Analytic numerical solution of coupled s
✍ L. Jódar; D. Goberna 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 437 KB

In this paper, we consider coupled semi-infinite diffusion problems of the form ut(x, t)-A2uxx (x,t) = 0, x > 0, t > 0, subject to u(0, t) = B and u(x,O) = O, where A is a matrix in C r×r, and u(x, t), and B axe vectors in C r. Using the Fourier sine transform, an explicit exact solution of the prob