Fibonacci Wavelet Collocation Method for Solving Modified Unstable Nonlinear Schrödinger Equation

What is it about?

In this work, we used the backward Euler difference formula with the Fibonacci wavelets collocation method to find approximate solutions to the modified unstable nonlinear Schrödinger equation. The time derivative term of the modified unstable nonlinear Schrödinger equation is estimated using the backward Euler difference formula, and the space derivative term is estimated using the Fibonacci wavelets collocation method. This method reduces the modified unstable nonlinear Schrödinger equation to a finite system of linear equations. We use three examples to illustrate the method’s accuracy and efficiency numerically and graphically. In addition, we have also compared our results with the previous scheme.

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