TY - JOUR
ID - 703306
TI - Numerical solution to Volterra integro-differential equations using collocation approximation
JO - Mathematics and Computational Sciences
JA - MCS
LA - en
SN -
AU - Ajileye, Ganiyu
AU - Amoo, Sikiru A
AD - Department of Mathematics and Statistics, Federal University Wukari, Taraba State, Nigeria
AD - Department of Mathematics and Statistics, Federal University Wukari, Taraba State
Y1 - 2023
PY - 2023
VL - 4
IS - 1
SP - 1
EP - 8
KW - collocation
KW - Volterra
KW - Integro-differential
KW - Basis polynomial
KW - Approximate Solution
DO - 10.30511/mcs.2023.1978083.1099
N2 - This paper considers the collocation method for the numerical solution of the Volterra integro- differential equation using polynomial basis functions. The modeled equation was converted into a linear algebraic system of equations and matrix inversion was employed to solve the algebraic equation. We substitute the result of algebraic into the approximate solution to obtain the numerical result. Some numerical problems are solved to show the method's efficiency and consistency.
UR - https://mcs.qut.ac.ir/article_703306.html
L1 - https://mcs.qut.ac.ir/article_703306_902e36cd9368322687846123d4dad4e1.pdf
ER -