Open AccessAn Approximated Solutions for nth Order Linear Delay Integro-Differential Equations of Convolution Type Using B-Spline Functions and Weddle Method
Author(s) -
Baghdad Science Journal
Publication year - 2014
Publication title -
mağallaẗ baġdād li-l-ʿulūm
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.167
H-Index - 6
eISSN - 2411-7986
pISSN - 2078-8665
DOI - 10.21123/bsj.11.1.166-177
Subject(s) - mathematics , convolution (computer science) , b spline , collocation (remote sensing) , type (biology) , collocation method , matlab , linear differential equation , spline (mechanical) , order (exchange) , differential equation , mathematical analysis , computer science , ordinary differential equation , ecology , structural engineering , machine learning , artificial neural network , engineering , biology , finance , economics , operating system
The paper is devoted to solve nth order linear delay integro-differential equations of convolution type (DIDE's-CT) using collocation method with the aid of B-spline functions. A new algorithm with the aid of Matlab language is derived to treat numerically three types (retarded, neutral and mixed) of nth order linear DIDE's-CT using B-spline functions and Weddle rule for calculating the required integrals for these equations. Comparison between approximated and exact results has been given in test examples with suitable graphing for every example for solving three types of linear DIDE's-CT of different orders for conciliated the accuracy of the results of the proposed method.