Solving higher order partial differential equations using mesh free method

In this work, we offer a novel numerical mesh-free method for solving time-dependent issues with changing parameter controlled via higher types of partial differential equations, that are better suited for describing response spread for these kind of disciplines of research than regular diffusion formulas. To cope with both the time variable as well as its derivatives, the finite difference approach is used, and the radial basis functions technique is created for diffusion equation. To verify the correctness of our approach, numerical experimentation results are provided and contrasted with analytic results