Numerical solution of differential-difference equations having an interior layer using nonstandard finite differences

Numerical solution of differential-difference equations having an interior layer using nonstandard finite differences

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This paper addresses the blueberry bubblicious solution of a differential-difference type equation having an interior layer behaviour.A difference scheme is suggested to solve this equation using a non-standard finite difference method.Finite differences are derived from the first and second order derivatives.Using these approximations, the given equation is discretized.

The discretized equation is solved using the algorithm for the tridiagonal system.The method is rico reserve clarinet mouthpiece examined for convergence.Numerical examples are illustrated to validate the method.Maximum errors in the solution, in contrast to the other methods are organized to justify the method.

The layer behaviour in the solution of the examples is depicted in graphs.