Volume 4, Issue 2
Variation of Parameters Method for Solving System of Nonlinear Volterra Integro-Differential Equation

Muhammad Aslam Noor, Khalida Inayat Noor, Asif Waheed & Eisa Al-Said

Adv. Appl. Math. Mech., 4 (2012), pp. 190-204.

Published online: 2012-04

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  • Abstract

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's polynomials. Several examples are given to verify the reliability and efficiency of the proposed technique.

  • Keywords

Variation of parameters method, oceanography, system of nonlinear Volterra integro-differential equations, error estimates.

  • AMS Subject Headings

65N99, 65R20, 65K15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-4-190, author = {}, title = {Variation of Parameters Method for Solving System of Nonlinear Volterra Integro-Differential Equation}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2012}, volume = {4}, number = {2}, pages = {190--204}, abstract = {

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's polynomials. Several examples are given to verify the reliability and efficiency of the proposed technique.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.10-m1118}, url = {http://global-sci.org/intro/article_detail/aamm/114.html} }
TY - JOUR T1 - Variation of Parameters Method for Solving System of Nonlinear Volterra Integro-Differential Equation 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 -

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's polynomials. Several examples are given to verify the reliability and efficiency of the proposed technique.

Muhammad Aslam Noor, Khalida Inayat Noor, Asif Waheed & Eisa Al-Said. (1970). Variation of Parameters Method for Solving System of Nonlinear Volterra Integro-Differential Equation. Advances in Applied Mathematics and Mechanics. 4 (2). 190-204. doi:10.4208/aamm.10-m1118
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