Differential equations are used to model problems in science and engineering that involve the change of some variable with respect to the other. Most of these problems require the solution of an ...

This paper describes an approximating solution, based on Lagrange interpolation and spline functions, to treat functional integral equations of Fredholm type and Volterra type. This method extended to ...

Numerical methods for differential and integral equations are indispensable in modern applied mathematics and engineering, offering tools to approximate complex physical phenomena where analytical ...

1 Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt 2 Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, Egypt This paper investigates the ...

In the course Numerical Solutions of Differential Equations Projects of 2019 spring, three projects should be finished in order to complete the course. I give codes and reports of the three projects ...

Mathematics of Computation, Vol. 49, No. 180 (Oct., 1987), pp. 523-542 (20 pages) We present Runge-Kutta methods of high accuracy for stochastic differential ...

Abstract: The paper is devoted to a fuzzy approach to numerical solutions of partial differential equations. Three main types of partial differential equations have been considered to demonstrate the ...

The finite volume method is used to solve the Navier-Stokes equations. The paper is divided into two distinct parts. The first part presents the discretization method for solving the diffusion and ...

1 Department of Applied Mathematics, Adama Science and Technology University, Adama, Ethiopia 2 Department of Mathematics, Jimma University, Jimma, Ethiopia In general, the classical numerical methods ...

Numerical Differential Equations is a field of mathematics that deals with the numerical approximation of solutions to differential equations. Differential equations are used to model various ...

Please see the Module Guides section on the Course Structure and Content pages of the Department of Mathematics for details on this module.