Solving Volterra's Population Model Using New Second Derivative Multistep Methods| Science Publications

American Journal of Applied Sciences

G. Hojjati¹  K. Parand¹ 

关键词: multistep and multi-derivative methods;    volterra's population model;    integro-differential equation;    stiff systems of ODEs;   

DOI  :  10.3844/ajassp.2008.1019.1022

学科分类：自然科学（综合）

来源: Science Publications

【 摘 要 】

In this study new second derivative multistep methods (denoted SDMM) are used to solve Volterra's model for population growth of a species within a closed system. This model is a nonlinear integro-differential where the integral term represents the effect of toxin. This model is first converted to a nonlinear ordinary differential equation and then the new SDMM, which has good stability and accuracy properties, are applied to solve this equation. We compare this method with the others and show that new SDMM gives excellent results.

【 授权许可】

Unknown