Runge-Kutta adaptive-step solvers for nonlinear PDEs. Solvers include both exponential time differencing and integrating factor methods.

Numerical Solver to Korteweg-de Vries and Kawahara Equations

Solving KdV equation with finite difference optimized compact scheme for first- and third-derivatives

Spectral Integration and Differentiation Algorithms. Includes FFTs, Chebyshev Transforms, and Hankel transforms. Exponential time differencing and integrating factor Runge-Kutta methods.

Numerical solution to Korteweg-De Vries equation. The method used is finite differences method and Zabusky-Kruskal scheme.

Using ANN to decompose waves into different bases (wave functions) with ease of choice.