Some Comparisons of the Methods Applied to Solving the First-Order Integro-Differential Equations

4th International Conference on Applied Materials and Manufacturing Technology

材料科学;机械制造

Mehdiyeva, G.^1 ; Ibrahimov, V.^1,2 ; Imanova, M.^1,2

Department of the Computational Mathematics, Baku State University, Z. Khalilov 23, AZ1148, Azerbaijan^1

Institute of Control Systems, Baku, Azerbaijan^2

关键词: First order;    Volterra;    Volterra integro-differential equations;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/423/1/012155/pdf
DOI  :  10.1088/1757-899X/423/1/012155

学科分类：材料科学（综合）

来源: IOP

【 摘 要 】

There are some classes of the methods for solving the initial-value problem of the integro-differential equations of Volterra type. Obviously, each class of these methods has its advantages and disadvantages. Therefore, here we consider a comparison of some known methods by which the region of the application of the certain methods is determined. The results obtained here make it possible to choose an appropriate method for solving the initial-value problem of the Volterra integro-differential equation.