TY - JOUR
ID - 5901
TI - Mathematical modeling of diffusion problem
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN - 2008-6822
AU - salemi, Maryam
AU - Attary, Maryam
AD - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
Y1 - 2022
PY - 2022
VL - 13
IS - 1
SP - 2065
EP - 2073
KW - Integral-algebraic equations
KW - Diffusion model
KW - Singular systems
KW - Numerical treatment
DO - 10.22075/ijnaa.2019.18118.1989
N2 - This work aims to introduce a numerical approximation procedure based on an operational matrix of block pulse functions, which is employed in solving integral-algebraic equations arising from the diffusion model. It is known that the integral-algebraic equations belong to the class of singular problems. The main advantage of this method is the reduction of these singular systems by using an operational matrix to linear lower triangular systems of algebraic equations, which is non-singular. An estimation of the error and illustrative instances are discussed to evaluate the validity and applicability of the presented method.
UR - https://ijnaa.semnan.ac.ir/article_5901.html
L1 - https://ijnaa.semnan.ac.ir/article_5901_7408dae7eacbd82a256fbad8ce460c7e.pdf
ER -