Paper Title
Approximate-Numerical Solutions using New Techniques of Non-Linear Differential Equations

Abstract
Advection-diffusion equations are used for severalLife applications by proposing new techniques using an implicit-explicit finite difference schemes with high order filter for irregular geometry boundary condition. The principle objective of this paper is to study the accuracy and efficiency of some techniques for coupling multiple systems at multiple levels (10 levels) non- linear advection and advection-diffusion equations with separate interface. Each model consists of a higher resolution model with nested 3:1 embedded in a lower resolution model. This technique is satisfied using a cubic Lagrange interpolating and updating the variables is suitably update-mix high averaged method. Both Dirichlet and Neumann boundary conditions are applied at the boundaries. Compare the results of l2-RE when ∆x≠∆y. Keywords - Finite Difference Method, Advection-Diffusion Equations, Fluid Dynamics, Hydrostatic Model, Free Surface