|
An Efficient
Haar Wavelet
Series Method to
Solve
Higher-order
Multi-pantograph
Equations
Arising in
Electrodynamics
Afroz (1), Basharat Hussain (2) and
Abdullah
(3)
(1) Department
of Mathematics,
Maulana Azad
National Urdu
University,
Hyderabad, India
Email address:
afroz.ahmad@manuu.edu.in
(2) Department of
Mathematics, Maulana
Azad National Urdu
University,
Hyderabad, India
Email address:
basharathussain rs@manuu.edu.in
(3)
Department of
Mathematics, Zakir
Hussain Delhi
college, University
of
Delhi, India
Email address:
abd.zhc.du@gmail.com
Doi :
https://doi.org/10.47013/15.4.1
Cited by :
Jordan J. Math &
Stat.,
15 (4A) (2022),
787 - 805
PDF
Received on:
March 23,
2021;
Accepted
on: July 14,
2021
Abstract. The primary
aim of this
paper is to
develop a
numerical method
based on Haar
wavelets for
solving second
and higher-order
multi-pantograph
differential
equations. This
method
transforms the
differential
equation into a
system of
algebraic
equations with
undetermined
coefficients.
These algebraic
systems can be
solved either by
Newton’s or
Broyden’s
iterative
methods.
Finally, few
test examples
are taken from
the literature
to show the
computational
efficiency of
this method.
Keywords:
Pantograph
equations; Delay
Ordinary
Differential
Equation;
Numerical
method;
Collocation
points; Haar
wavelets.
|
