Borhan F. Jumaa

Solving the System of Two Nonlinear Voltera Intehral Equations of the Second Kind Using the Trapezoidal Predictor – Corrector Method

Borhan F. Jumaa · Journal of Advances in Mathematics and Computer Science · 2017

In this paper, we consider the system of two nonlinear Volterra integral equations of the second kind (SNLVIE-2). We proposed method of Trapezoidal Predictor-Corrector (TRP-PCR) to solve SNLVIE-2. In addition, new algorithm IS introduced. The method is supported by numerical exam...

Open access Research Article 10.9734/BJMCS/2017/31131

Numerical Solutions Based on Finite Difference Techniques for Two Dimensional Advection-Diffusion Equation

Muhannad A. M. Shallal & Borhan F. Jumaa · Journal of Advances in Mathematics and Computer Science · 2016

In this article, the two dimensional Advection- Diffusion equation has been solved by two finite difference techniques. In the first technique an Alternating Direction Implicit scheme (ADI) is used, this technique is a second order accurate in time and space. In the second techni...

Open access Research Article 10.9734/BJMCS/2016/25464