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On a certain finite difference scheme for a model for diffusion of biological populations

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Abstract

In this note, we present a numerical scheme for finding an approximate solution of an equation which can be viewed as a model for spatial diffusion of age-dependent biological populations. Discretization of the model yields a linear system with a block tridiagonal matrix. Our main concern will be discussion of stability for this scheme by examining the eigenvalues of the block tridiagonal matrix. Numerical results are presented.

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Correspondence to Asghar Kerayechian.

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Kerayechian, A. On a certain finite difference scheme for a model for diffusion of biological populations. Korean J. Comput. & Appl. Math. 6, 353–363 (1999). https://doi.org/10.1007/BF03014380

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  • DOI: https://doi.org/10.1007/BF03014380

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