An efficient C++ implementation for modelling physics equations via qspsor method
C++ programming language used in various fields of in science andtechnology where we need the fastest possible implementation. We use an efficient C++implementations of the Quarter-Sweep Preconditioned SOP (QSPSOR) techniquealong with a method called Unconditionally Implicit Caputo's Fractional Derivative (ICFD) for computing the solutions of physics equations. We apply them for twotypes of PDE's: a) fraction in time (TFPDE's) and b) fraction in space (SFPDE's) using corresponding ICFD techniques and matrix preconditioning to define the linearsystem. Also, we describe the meaning, formulation and applications of the HSPORtechnique. Based on a numerical and benchmarking results of the proposed method, it has been concluded that this iterative technique is notably better than others.
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