TY - JOUR
T1 - Variation of Parameters Method for Solving System of Nonlinear Volterra Integro-Differential Equation
AU - Aslam Noor , Muhammad
AU - Noor , Khalida Inayat
AU - Waheed , Asif
AU - Al-Said , Eisa
JO - Advances in Applied Mathematics and Mechanics
VL - 2
SP - 190
EP - 204
PY - 2012
DA - 2012/04
SN - 4
DO - http://doi.org/10.4208/aamm.10-m1118
UR - https://global-sci.org/intro/article_detail/aamm/114.html
KW - Variation of parameters method, oceanography, system of nonlinear Volterra
integro-differential equations, error estimates.
AB - <p style="text-align: justify;">It is well known that nonlinear integro-differential equations play vital
role in modeling of many physical processes, such as nano-hydrodynamics, drop
wise condensation, oceanography, earthquake and wind ripple in desert. Inspired
and motivated by these facts, we use the variation of parameters method for solving system of nonlinear Volterra integro-differential equations. The proposed technique is applied without any discretization, perturbation, transformation, restrictive assumptions and is free from Adomian&#39;s polynomials. Several examples are
given to verify the reliability and efficiency of the proposed technique.</p>