Novel simulation of the time fractional Burgers–Fisher equations using a non-polynomial spline fractional continuity method

In a recent study, we investigate the Burgers–Fisher equation through developed scheme, namely, non-polynomial spline fractional continuity method. The proposed models represent nonlinear optics, chemical physics, gas dynamics, and heat conduction. basic concept of new approach is constructing with instead natural derivative. Furthermore, truncation error analyzed to determine order convergence for presented theoretically stability scheme using von Neumann One might easily conclude that quite successful effective in obtaining numerical solutions time partial/fractional partial differential equations. addition, plotted contour, 2D, 3D graphs some reported compare solution an exact solution. investigated method was tested examples compared previous showing applicability effectiveness scheme. absolute norm errors L 2 ∞ has calculated validate accuracy efficiency To our knowledge, all obtained this research paper are novel not published beforehand.