Numerical solution of fractional cable equation via extended cubic B-spline

2019 ◽  
Author(s):  
Tayyaba Akram ◽  
Muhammad Abbas ◽  
Ahmad Izani Ismail
Keyword(s):  
Numerical Solution ◽  
Cable Equation ◽  
B Spline ◽  
Fractional Cable Equation

Pseudospectral analysis and approximation of two‐dimensional fractional cable equation

2021 ◽  
Author(s):  
Avinash K. Mittal ◽  
Lokendra K. Balyan ◽  
Manoj K. Panda ◽  
Parnika Shrivastava ◽  
Harvindra Singh
Keyword(s):  
Cable Equation ◽  
Two Dimensional ◽  
Fractional Cable Equation

scholarly journals Numerical Solution of Nonlinear Schrödinger Equation with Neumann Boundary Conditions Using Quintic B-Spline Galerkin Method

Symmetry ◽  
2019 ◽  
Vol 11 (4) ◽  
pp. 469 ◽  
Author(s):  
Azhar Iqbal ◽  
Nur Nadiah Abd Hamid ◽  
Ahmad Izani Md. Ismail
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Boundary Conditions ◽  
Numerical Solution ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions ◽  
Spline Method ◽  
Galerkin Finite Element Method ◽  
Galerkin Finite Element ◽  
B Spline

This paper is concerned with the numerical solution of the nonlinear Schrödinger (NLS) equation with Neumann boundary conditions by quintic B-spline Galerkin finite element method as the shape and weight functions over the finite domain. The Galerkin B-spline method is more efficient and simpler than the general Galerkin finite element method. For the Galerkin B-spline method, the Crank Nicolson and finite difference schemes are applied for nodal parameters and for time integration. Two numerical problems are discussed to demonstrate the accuracy and feasibility of the proposed method. The error norms L 2 , L ∞ and conservation laws I 1 ,   I 2 are calculated to check the accuracy and feasibility of the method. The results of the scheme are compared with previously obtained approximate solutions and are found to be in good agreement.

scholarly journals Analytical Solution of Generalized Space-Time Fractional Cable Equation

Mathematics ◽  
2015 ◽  
Vol 3 (2) ◽  
pp. 153-170 ◽  
Author(s):  
Ram Saxena ◽  
Zivorad Tomovski ◽  
Trifce Sandev
Keyword(s):  
Analytical Solution ◽  
Space Time ◽  
Cable Equation ◽  
Fractional Cable Equation
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