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

KDVAT is an advanced VAT calculation application that runs on Linux, macOS, and Windows. With its user-friendly interface, you can easily calculate VAT-inclusive or VAT-exclusive amounts, process bulk calculations, and export results to Excel. Additionally, you can view transaction history and generate detailed statistical reports.

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.