A Convergent Three-Step Numerical Method to Solve a Double-Fractional Two-Component Bose–Einstein Condensate

A New Technique of Reduce Differential Transform Method to Solve Local Fractional PDEs in Mathematical Physics

In this manuscript, we investigate solutions of the partial differential equations (PDEs) arising inmathematical physics with local fractional derivative operators (LFDOs). To get approximate solutionsof these equations, we utilize the reduce differential transform method (RDTM) which is basedupon the LFDOs. Illustrative examples are given to show the accuracy and reliable results. Theobtained ...

Numerical Simulation of Squeezed Flow of a Viscoplastic Material by a Three-step Smoothed Particle Hydrodynamics Method

In the current work, the mesh free Smoothed Particle Hydrodynamics (SPH) method, was employed to numerically investigate the transient flow of a viscoplastic material. Using this method, large deformation of the sample and its free surface boundary were captured without the cumbersome process of the grid generation. This three-step SPH scheme employs an explicit predictor-corrector technique an...

A numerical approach to solve eighth order boundary value problems by Haar wavelet collocation method

In this paper a robust and accurate algorithm based on Haar wavelet collocation method (HWCM) is proposed for solving eighth order boundary value problems. We used the Haar direct method for calculating multiple integrals of Haar functions. To illustrate the efficiency and accuracy of the concerned method, few examples are considered which arise in the mathematical modeling of fluid dynamics an...

A General Method to Solve Fractional Differential Equations on R

A Numerical Method to Solve a Quadratic Constrained Maximization

The problem of maximizing a quadratic function subject to an ellipsoidal constraint is considered. The algorithm produces an approximation of the optimal solution in a finite number of iterations. In particular, the method can be used to solve the ill-conditioned problems in which the solution consists of two parts from two orthogonal subspaces. Without restrictive assumptions, the solution gen...