An improved localized radial basis-pseudospectral method for solving fractional reaction–subdiffusion problem

• DOI: 10.1016/j.rinp.2021.104048
• Publication Date: 2021-03-11T07:45:09Z
• Authors: O. Nikan; Z. Avazzadeh
• Keywords: Collocation (remote sensing); Kernel (algebra)

The fractional reaction–subdiffusion problem is one of the most well-known subdiffusion models extensively used for simulating numerous physical processes in recent years. This paper introduces an efficient local hybrid kernel meshless procedure to approximate time involving a Riemann–Liouville derivative. technique based on central difference approach temporal direction and hybridization cubic Gaussian kernels spatial direction. main idea this develop that benefits from advantages two different avoids their limitations, while maintaining global collocation method. considers only neighboring nodes it does not produces ill-conditioning occurs other methods with large dense matrix systems. discrete scheme terms unconditional stability convergence analyzed. Numerical examples are presented show validity, effectiveness accuracy