Title of article :
A numerical scheme for solving nonlinear parabolic partial differential equations with piecewise constant arguments
Author/Authors :
Esmailzadeh, Mojgan Department of Applied Mathematics - Islamic Azad University Bandar Anzali Branch, Bandar Anzali , Iran , Alavi, Javad Department of Applied Mathematics and Computer Science - Faculty of Mathematical Sciences - University of Guilan, Rasht, Iran , Saberi Najafi, Hashem Department of Applied Mathematics and Computer Science - Faculty of Mathematical Sciences - University of Guilan, Rasht, Iran
Abstract :
This article deals with the nonlinear parabolic equation with piecewise continuous arguments (EPCA). This study, therefore, with the aid of the θ -methods, aims at presenting a numerical solution scheme for solving such types of equations which has applications in certain ecological studies. Moreover, the convergence and stability of our proposed numerical method are investigated.
Finally, to support and confirm our theoretical results, some numerical examples are also presented.
Keywords :
Partial differential equation with piecewise constant arguments (EPCA) , theta-methods , Convergence , Trust-region-dogleg method
Journal title :
International Journal of Nonlinear Analysis and Applications
