[PDF] Top 20 An exponential B spline collocation method for the fractional sub diffusion equation
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An exponential B spline collocation method for the fractional sub diffusion equation
... posed method is highly accurate and calls for a lower cost to ...of exponential B-spline trial basis, which will be useful ...nential B-spline approach on uniform meshes to ... See full document
17
Solving a nonlinear inverse system of Burgers equations
... the equation to the simpler ...cubic B-splines collocation method does not require extra effort to deal with the nonlinear ...using B-spline collocation method ... See full document
19
EXPONENTIAL B-SPLINE COLLOCATION METHOD FOR THE NUMERICAL SOLUTION OF ONE-SPACE DIMENSIONAL NONLINEAR WAVE EQUATION WITH STRONG STABILITY PRESERVING TIME INTEGRATION
... 107 | P a g e proposed method are given in Table 2 for . A comparison between analytical and numerical solution upto for is done by plotting space time graphs which are given in Fig. 1 and Fig. 2. It is clear from ... See full document
12
Trigonometric Cubic B-spline Collocation Method for Solitons of the Klein-Gordon Equation
... u(x, t) = 2 sech ( √ 2{sinh (1)}x − {cosh (1)}t) (16) where sinh and cosh are known hyperbolic functions [33]. This solution represents a traveling wave of amplitude 2 whose peak is positioned at x = 0 initially. As time ... See full document
15
Numerical Method For Approximate Solutions of Fractional Differential Equations with Time Delay
... of fractional differential equations ...meshless method used by Liu et al. in [31] for solving time fractional advection-diffusion equation with distributed order and by Dehghan et ... See full document
10
Spline Collocation Method for solving Burgers equation in Fluid Dynamic
... numerical method. That equation (1) is the simplest mathematical formulation of the competition between nonlinear advection and viscous ...of equation (1) have been studied by ...Burger ... See full document
5
On a novel modification of the Legendre collocation method for solving fractional diffusion equation
... Legendre collocation method to discretize ...difference method (FDM) [16, 17] to solve the resulting system, and obtain the coefficients in the ap- proximate ... See full document
17
Numerical Solution to Euler–Cauchy Equation with Neumann Boundary Conditions Using B-Spline Collocation Method
... in collocation B- spline method where B-spline basis functions are defined and these nodes are used to make the residue equal to zero to determine unknowns C ' i s in (2), two ... See full document
6
Ninth Degree B-spline Collocation Method for Numerical Solution of the Ninth Order Linear Differential Equation
... in equation (1) for U (x) and derivatives of U ...to equation (2), eight more equations are generated in ...in equation (3) then assumed solution becomes the known approximation solution for ... See full document
6
A numerical algorithm based on modified extended B spline functions for solving time fractional diffusion wave equation involving reaction and damping terms
... nonlinear fractional-order ...Galerkin method together with two-dimensional Genocchi polynomials to establish the numerical solutions of a time-fractional DWE and a time-fractional ... See full document
19
Application of the b-spline collocation method to a geometrically non-linear beam problem
... as collocation points. Kadalbajoo with Yadaw [20] used that collocation method to approximate a solution for a two parameter, singularly perturbed, convection-diffusion boundary value ...same ... See full document
134
A high order numerical scheme using orthogonal spline collocation for solving the two dimensional fractional reaction–subdiffusion equation
... orthogonal spline collocation (OSC) method has developed into a robust and valu- able technique for solving many kinds of partial differential equations ...difference method [39] and the ... See full document
23
High-order Compact Iterative Scheme for the Two-dimensional Time Fractional Cable Equation
... The fractional cable equation is derived from the Nernst-Planck equation which gives us a macroscopic approximation of the complicated microscopic motions of ions in nerve cells ...solving ... See full document
8
Lagrange’s Spectral Collocation Method for Numerical Approximations of Two Dimensional Space Fractional Diffusion Equation
... as collocation points to determine the expansion ...spectral collocation method are investigated through two examples of 2D space fractional diffusion ... See full document
16
Application of linear combination between cubic B-spline collocation methods with different basis for solving the KdV equation
... KdV equation is a one-dimensional nonlinear partial differential equation of third order, which plays a big role in the discussion of nonlinear dispersive ...This equation was primarily derived by ... See full document
14
A NUMERICAL APPROACH TO CAUDREY DODD GIBBON EQUATION VIA COLLOCATION METHOD USING QUINTIC B-SPLINE BASIS
... element method, one of the quite powerful numerical approach which is revealing solutions of ...the method based on subdividing a large problem into smaller, more simpler sub-problems and seek an ... See full document
8
EXTENDED B-SPLINE COLLOCATION METHOD FOR KDV-BURGERS EQUATION
... equations method was implemented to obtain that ...KdVB equation with variable ...KdVB equation was developed by using automated method based on an ansatz of a polynomial in terms of a tanh ... See full document
12
Cubic B-spline Collocation Method for One-Dimensional Heat Equation
... differential equation [1, 3, 4]. The heat equation is a very important equation in physics and ...heat equation describes the distribution of heat (or variation in temperature) in a given ... See full document
8
Spline Solution for the Nonlinear Schrödinger Equation
... NLS equation, so the study of the numerical solution of NLS equation in the theory and application is ...difference method [10] [11], quasi-interpolation scheme [12], quadratic B-spline ... See full document
11
Numerical studies of non-local hyperbolic partial differential equations using collocation methods
... with exponential cubic B-spline and quantic B-spline had been developed to solve one- dimensional wave ...equation. B-spline functions had been used to interpolate ... See full document
13
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