A shifted Legendre method for solving a population model and delay linear Volterra integro-differential equations

作者：Yuzbasi Suayip^*

来源：International Journal of Biomathematics, 2017, 10(7): 1750091.

DOI：10.1142/S1793524517500917

• Population model
• delay Volterra integro-differential equations
• shifted Legendre polynomials
• matrix method
• collocation method

In this paper, we propose a collocation method to obtain the approximate solutions of a population model and the delay linear Volterra integro-differential equations. The method is based on the shifted Legendre polynomials. By using the required matrix operations and collocation points, the delay linear Fredholm integro-differential equation is transform ed info a matrix equation. The matrix equation corresponds to a system of linear algebraic equations. Also, an error estimation method for method and improvement of solutions is presented by using the residual function. Applications population of model and general delay integro-differential equation are given. T he obtained results are compared with the known results.

• 出版日期2017-10