[PDF] Top 20 On a Computational Method for Non-integer Order Partial Differential Equations in Two Dimensions
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On a Computational Method for Non-integer Order Partial Differential Equations in Two Dimensions
... as partial differential equations of classical and fractional ...fractional order integration and differentiation are constructed which play central rules in approximation of ...fractional ... See full document
19
Computational technique of linear partial differential equations by reduced differential transform method
... and partial differential equations [3, 5], high index differential-algebraic equations [14], integro-differential equations ...2.1 Two dimensional the ... See full document
8
Mathematical analysis and numerical simulation of two component system with non integer order derivative in high dimensions
... solve two notable non-integer-order partial differential ...spectral method in space, coupled with the exponential integrator scheme in ...our method yields a full diagonal ... See full document
24
Scale-invariant moving finite elements for nonlinear partial differential equations in two dimensions
... new method are summarised, prior to their detailed description in later ...in order to gen- erate an associated velocity field, the conservation principle is identified with a Lagrangian statement of ... See full document
31
A Computational Study with Finite Difference Methods for Second Order Quasilinear Hyperbolic Partial Differential Equations in Two Independent Variables
... numerical method of characteristics for the numerical solution of initial value problems (IVPs) for quasilinear hyperbolic Partial Differential Equations, as well as the difference scheme ... See full document
32
Computational surface partial differential equations
... surface partial differential equations. These embedded equations are solved using finite differences on a Cartesian grid in space and an explicit time stepping ...This method is ... See full document
206
An alternating direction Galerkin method for a time fractional partial differential equation with damping in two space dimensions
... time-fractional partial differential equations involving the Caputo derivative operator describe the history-dependent behavior well, they also cause large computa- tional cost due to the fact that all the ... See full document
17
Existence and stability of solution to a toppled systems of differential equations of non-integer order
... in order to extend tools to more classes of BVPs, researchers need to look for some other refined tools of functional ...degree method proved to be a dominant tool in the study of many mathematical models ... See full document
13
Using Two-dimensional Differential Transform to Solve Second Order Complex Partial Differential Equations
... of differential transform (one dimension) was first proposed and applied to solve linear and non linear initial value problems in electric circuit analysis by Zhou [ 6 ] ...dimensional differential ... See full document
12
Stochastic Logistic Model for Fish Growth
... the method of separa- tion of variables or by applying the Laplace transformation ...the partial differential Equation (28) is transformed into two ordinary differential ... See full document
8
A new spline in compression method of order four in space and two in time based on half step grid points for the solution of the system of 1D quasi linear hyperbolic partial differential equations
... spline method for solving singular two-point boundary value prob- ...perturbed two-point singular boundary value problems and gave convergent spline in tension meth- ods for singularly perturbed ... See full document
28
A Numerical Solver for Second Order Stiff Ordinary Differential Equations
... second order ordinary differential equations ...(BBDF) method with strategy on step size ...proposed method in terms of accuracy, number of total steps and computational ... See full document
8
New Approach for Solving Three Dimensional Space Partial Differential Equation
... by partial differential equations ...each partial derivative contained in the equation is one and the coefficients of the dependent variable and the coefficients of each partial ... See full document
7
On the Partial Differential Equations with Non-Constant Coefficients and Convolution Method
... well-known partial dif- ferential equations: wave equation, one dimensional heat flow, two dimensional heat flow, which in steady state becomes the two dimensional Laplace’s equation, ... See full document
6
Solution of space time fractional generalized KdV equation, KdV burger equation and Bona-Mahoney-Burgers equation with dual power-law nonlinearity using complex fractional transformation
... u s a a a a (2.13) be the solution of the equation (2.10) with a i i , 0,1, 2..... n as constants. Then the highest power of in u becomes n 1 ; similarly that of u is n 2 . Then we ... See full document
16
Jacobi Elliptic Function Solutions For Fractional Partial Differential Equations
... function method to seek exact solutions for fractional partial differential ...This method belongs to the categories of the sub- equation methods, and the fractional complex transforma- tion ... See full document
9
FUZZY ALTERNATING DIRECTION IMPLICIT METHOD FOR SOLVING PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS IN THREE DIMENSIONS
... implicit method was first suggested by Douglas, Peaceman and Richard for solving the heat equation in two spatial variables and alternating direction implicit methods have proved valuable in the ... See full document
8
The Linear, Nonlinear and Partial Differential Equations are not Fractional Order Differential Equations
... The differential equations were considered as fractional order differential equations in ...Analysis Method was used to obtain analytical solutions of these ...fractional ... See full document
6
A Novel Power Series Method for Solving Second Order Partial Differential Equations
... linear partial differential equations with variable coefficients are usually ...series method can be proposed.In this study, the usefulness power series method presented for the ... See full document
10
On The Simulation of Partial Differential Equations Using the Hybrid of Fourier Transform and Homotopy Perturbation Method
... the method is capable of obtaining the solution of non-homogeneous parabolic differential equations with very rapid convergence towards the exact ... See full document
11
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