TY - JOUR
T1 - Fibonacci Wavelet Collocation Method for Solving a Class of System of Nonlinear Pantograph Differential Equations
AU - G , Manohara
AU - S , Kumbinarasaiah
JO - Journal of Nonlinear Modeling and Analysis
VL - 4
SP - 1206
EP - 1239
PY - 2025
DA - 2025/07
SN - 7
DO - http://doi.org/10.12150/jnma.2025.1206
UR - https://global-sci.org/intro/article_detail/jnma/24232.html
KW - Pantograph equations, collocation technique, Fibonacci wavelet,
operational matrix of integration.
AB - <p style="text-align: justify;">This paper introduces a unique strategy for solving numerically
a class of nonlinear Pantograph differential equations using the Fibonacci
wavelet collocation method (FWCM). First, we transform the nonlinear Pantograph differential equations system into a nonlinear algebraic system using
this proposed approach. Next, the transformed nonlinear algebraic system is
solved by using the Newton-Raphson scheme. The main advantage of this
approach lies in its ability to reduce the computational complexity associated
with solving Pantograph equations, resulting in accurate and efficient solutions. Comparative analyses with other established numerical methods reveal
its superior accuracy and convergence rate performance. Further, a few examples are provided to evaluate the effectiveness of the suggested approach
using absolute error functions. As far as our literature survey indicates, no
one attempted the nonlinear Pantograph differential equations by FWCM. It
compels us to study a system of Pantograph differential equations via FWCM.</p>