TY - JOUR
ID - 671814
TI - Approximate Solution of the Second Order Initial Value Problem by Using Epsilon Modified Block-Pulse Function
JO - International Journal of Mathematical Modelling & Computations
JA - IJM2C
LA - en
SN - 2228-6225
AU - Mohammadi, Mahnaz
AU - Vahidi, Alireza
AU - Khezerloo, Saeid
AD - Department of Mathematics, Islamic Azad University-south Tehran Branch, Tehran, Iran.
AD - Department of mathematics, Islamic Azad University-shahr rey Branch, Tehran, Iran
AD - Department of Mathematics, Islamic Azad university--south Tehran Branch, Tehran, Iran.
Y1 - 2019
PY - 2019
VL - 9
IS - 4 (Fall)
SP - 283
EP - 295
KW - Initial value problems
KW - Runge–Kutta method
KW - Volterra integral equation
KW - εmodified block–pulse function
DO -
N2 - The present work approaches the problem of achieving the approximate solution of the second order initial value problems (IVPs) via its conversion into a Volterra integral equation of the second kind (VIE2). Therefore, we initially solve the IVPs using Runge–Kutta of the forth–order method (RK), and then convert it into VIE2, and apply the εmodified block–pulse functions (εMBPFs) and their operational matrix for solving VIE2, which can be transformed to a lower triangular system of algebric equations. Numerical examples show that the proposed scheme has a suitable degree of accuracy.
UR - http://ijm2c.iauctb.ac.ir/article_671814.html
L1 - http://ijm2c.iauctb.ac.ir/article_671814_3c4d5da00caffbda72ea84e088718119.pdf
ER -