Numerical Solutions Of The Nonlocal Problems For The Diffusion Partial Differential Equations
finite difference method
implicit finite difference method
explicit finite difference method
nonlocal condition
diffusion equation.
In this work, we use the explicit and the implicit finite-difference methods to solve the nonlocal problem that consists of the diffusion equations together with nonlocal conditions. The nonlocal conditions for these partial differential equations are approximated by using the composite trapezoidal rule, the composite Simpson's 1/3 and 3/8 rules. Also, some numerical examples are presented to show the efficiency of these methods.