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.
📜 SIMILAR VOLUMES
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