نتایج جستجو برای: cubic equations

تعداد نتایج: 270521  

2013
Shahid S. Siddiqi Saima Arshed

Many mathematical formulations of physical phenomena contain integro-differential equations. In this paper a numerical method is developed to solve the convection-diffusion integro-differential equations with a weakly singular kernel using the cubic B-spline collocation method. These equations occur in many applications such as in the transport of air and ground water pollutants, oil reservoir ...

Journal: :Journal of Mathematical Analysis and Applications 2002

Journal: :East Asian mathematical journal 2016

Journal: :Journal of Number Theory 2004

2009
Mohamed M. Mousa Aidarkhan Kaltayev

Based on the homotopy perturbation method (HPM) and Padé approximants (PA), approximate and exact solutions are obtained for cubic Boussinesq and modified Boussinesq equations. The obtained solutions contain solitary waves, rational solutions. HPM is used for analytic treatment to those equations and PA for increasing the convergence region of the HPM analytical solution. The results reveal tha...

Journal: :Journal of Inequalities and Applications 2012

Journal: :Computers & Mathematics with Applications 2009

The spline collocation method  is employed to solve a system of linear and nonlinear Fredholm and Volterra integro-differential equations. The solutions are collocated by cubic B-spline and the integrand is approximated by the Newton-Cotes formula. We obtain the unique solution for linear and nonlinear system $(nN+3n)times(nN+3n)$ of integro-differential equations. This approximation reduces th...

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