Numerical methods for stiff reaction-diffusion systems

Numerical simulation of reaction-diffusion systems by modified cubic B-spline differential quadrature method

“…Relative errors have been computed for the present method and compared with those obtained by [10] and [50] in Tables 6-8 . It may be noted that present method is giving good results with lesser number of grid points.…”

“…We consider linear reaction-diffusion system as given in [42] (18) in the domain(0, π /2)subject to following boundary conditions…”

Numerical solutions of the reaction diffusion system by using exponential cubic B-spline collocation algorithms

“…The obtained results will compare with [13] and [15]. The accuracy of the scheme is measured in terms of the following discrete error norm L∞ error norm…”

A fully adaptive reaction–diffusion integration scheme with applications to systems biology

“…Other adaptive methods for solving partial differential equations include adaptive mesh methods [38] and multigrid methods [39], time adaptive splitting methods for quickly equilibrating diffusion [40], and in situ adaptive tabulation [13], essentially a storage and retrieval system. The main benefit of our method is ease of implementation into software packages that use fixed Cartesian grids.…”