Multiple Novels and Accurate Traveling Wave and Numerical Solutions of the (2+1) Dimensional Fisher-Kolmogorov- Petrovskii-Piskunov Equation

The analytical and numerical solutions of the (2+1) dimensional, Fisher-Kolmogorov-Petrovskii-Piskunov ((2+1) D-Fisher-KPP) model are investigated by employing modified direct algebraic (MDA), Kudryashov (MKud.), trigonometric-quantic B-spline (TQBS) schemes. This model, which arises in population genetics nematic liquid crystals, describes reaction–diffusion system traveling waves propagation domain walls, pattern formation bi-stable systems, crystals. Many novel constructed. These used to evaluate requested technique’s conditions. considered studied, absolute value error between is calculated demonstrate matching both solutions. Some figures represented explain obtained match results. schemes’ performance shows their effectiveness power ability handle many nonlinear evolution equations.