[PDF] Top 20 Non polynomial quintic spline for numerical solution of fourth order time fractional partial differential equations
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Non polynomial quintic spline for numerical solution of fourth order time fractional partial differential equations
... era, fractional order differential equations have gained a significant amount of research work due to their wide range of applications in various branches of science and engineering such as physics, ... See full document
22
A fourth order non polynomial quintic spline collocation technique for solving time fractional superdiffusion equations
... the numerical solution of Caputo time fractional superdiffusion ...the time derivative, while non-polynomial quintic spline is employed as an interpolating ... See full document
21
A class of quasi variable mesh methods based on off step discretization for the numerical solution of fourth order quasi linear parabolic partial differential equations
... to fourth-order PDEs are necessary to know the qualitative behav- ior of natural processes and physical ...most fourth-order time-dependent PDEs have no closed-form solutions except for ... See full document
29
Tension spline technique for the solution of fourth-order parabolic partial differential equation
... the solution of fourth-order parabolic partial differential equations have been carried out by many ...B- spline method, Conte [5], Crandall [6], Jain et ...solve ... See full document
7
Non polynomial spline method for the time fractional nonlinear Schrödinger equation
... by fractional calculus. The time-fractional Schrödinger equation is a fundamental equation of fractional quantum mechanics which can be obtained from the classical Schrödinger equation by ... See full document
15
DGJ Method for Linear and Nonlinear Third order Fractional Differential Equation
... Fractional partial differential equations have gained considerable importance recently in the ...literature. Fractional differential equations have various appli- cations ... See full document
10
A Solution of Second Kind Volterra Integral Equations Using Third Order Non-Polynomial Spline Function Sarah H. Harbi| Mohammed Ali Murad| Saba N. Majeed
... integral equations. These equations also occur as reformulations of other mathematical problems such as partial differential equations and ordinary differential ... See full document
6
Numerical solution of fractional partial differential equations by numerical Laplace inversion technique
... differential equations are found to be an effective tool to describe certain phys- ical phenomena such as damping laws, rheology, diffusion processes, and so ...solve fractional differential ...the ... See full document
18
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
... compression function in derivation of the method. For a fixed parameter σ = k/h , the proposed method behaves like a fourth-order method. The accuracy and efficiency of the proposed method are exhibited from ... See full document
28
A new non polynomial spline method for solution of linear and non linear third order dispersive equations
... of solution of such dispersive equations are ...the numerical solution of a third order linear dispersive ...analytical solution was obtained of such equations by using ... See full document
14
Numerical solution methods for fractional partial differential equations
... Recently fractional differential equations have attracted attention in the areas of science and ...of equations is their nonlocal property in time or ...integer order of the ... See full document
464
Spectral solution of fractional fourth order partial integro-differential equations
... of fractional differential equa- tions, because recent investigations in science and engineering have indicated that the dynamics of many systems can be described more accurately using differential equations ... See full document
13
Cubic B-splines collocation method for solving a partial integro-differential equation with a weakly singular kernel
... the solution, there is a challenge in developing accurate numerical methods for solving the partial integro-differential ...piecewise polynomial interpolation functions, the B-spline ... See full document
14
Online Full Text
... investigated numerical solutions of generalized variable order fractional partial differential equations by using Bernstein ...Caputo differential derivative was adopted. ... See full document
8
Legendre Approximation for Solving Linear HPDEs and Comparison with Taylor and Bernoulli Matrix Methods
... Hyperbolic partial differential equations (HPDEs), are one of the most important subclasses of ...the equations of mechanics are hyperbolic, and so the study of hyperbolic equations is ... See full document
7
A Meshless Method for Numerical Solution of Fractional Differential Equations
... meshless numerical scheme for solving fractional differential equations is ...a fractional differential equation to a system of ...equations.The numerical results ... See full document
8
Covariance Operators and the Central Limit Theory for "Loop" Markov Chains
... of fractional integrals and derivatives can been found in many fields of science and engineering such as viscoelasticity, fractional differential operators which have been used to describe materials ... See full document
9
The Linear, Nonlinear and Partial Differential Equations are not Fractional Order Differential Equations
... the fractional order derivative definitions used in the many ...yield non-consistent ...for fractional order derivative in Karcı studies [15,16] and by using this method concludes in ... See full document
6
On Lyapunov type inequalities for fourth order linear differential equations
... In this paper, we introduce new Lyapunov-type inequalities for fourth order linear di¤erential equations under the third-point and four-point boundary conditions. The result for four-point boundary ... See full document
7
An Algorithm for the Numerical Solution of System of Fractional Differential Equations
... v 0 , 1 , where D u is the derivate of u of order , D v is the derivative of v of order in the sense of Caputo. The algorithm is based on the fractional s s method. ... See full document
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