[PDF] Top 20 Tension spline technique for the solution of fourth-order parabolic partial differential equation
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Tension spline technique for the solution of fourth-order parabolic partial differential equation
... The purpose of this paper is to present a new numerical method for obtaining smooth approximations for solving ho- mogeneous and nonhomogeneous parabolic partial differential equations based on ... See full document
7
Application of the Adomian Decomposition Method (ADM) for Solving the Singular Fourth Order Parabolic Partial Differential Equation
... nonlinear partial differential ...by partial differential equations, or by systems of partial differential ...singular fourth-order partial ... See full document
5
Spectral solution of fractional fourth order partial integro-differential equations
... This paper is organized as follows. In sections 2, some basic concepts are reviewed. In section 3, the method is implemented shown. In section 4, some numerical results are reported to show how this technique ... See full document
13
High accuracy quasi variable mesh method for the system of 1D quasi linear parabolic partial differential equations based on off step spline in compression approximations
... the solution of nonlinear parabolic equations were proposed by Jain et ...numerical solution of coupled viscous Burgers’ ...operator technique to solve coupled Burgers’ ...proposed ... See full document
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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 ...the solution procedure of the differential ...numerical solution of ... See full document
14
A fourth order finite difference method based on spline in tension approximation for the solution of one space dimensional second order quasi linear hyperbolic equations
... hyperbolic equation is of keen interest in the fields like acoustics, electromagnetics, fluid dynamics, mathematical physics, engineering ...of partial differential equations. The term ‘spline’ in the ... See full document
20
Spline in Compression Methods for Singularly Perturbed 1D Parabolic Equations with Singular Coefficients
... the tension spline method for the solution of second order singularly perturbed boundary value ...parametric spline function ...numerical solution of singularly perturbed one ... See full document
8
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
... beam equation is a fourth-order PDE governing the undamped transverse vibrations of a homogenous beam, in which the support does not contribute to the strain energy of the system and is set up as ... See full document
29
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
... a fourth-order ...scalar equation has been extended in a vector form to solve the system of quasi-linear hyperbolic ...telegraphic equation, the method is shown to be uncondition- ally stable, ... See full document
28
An optimally efficient technique for the solution of systems of nonlinear parabolic partial differential equations
... The multigrid method is commonly accepted as being one of the fastest numerical methods for solving algebraic equations arising from mesh-based discretizations of PDEs. Brandt in his 1977 paper [6] systematically ... See full document
43
Non polynomial quintic spline for numerical solution of fourth order time fractional partial differential equations
... numerical solution of a class of fourth-order time fractional partial differential equations ...In order to corroborate this work, some test problems have been considered, and the ... See full document
22
Numerical Methods for Solving the Inverse Problem of Parameter Identification in Parabolic and Fourth-Order Partial Differential Equations
... the solution to the parabolic differential equation associated with a specific coefficient q ∈ A and z a finite set of data representing measurements of the solution to the ...true solution ... See full document
119
Fixed point theorem based solvability of fourth order nonlinear differential equation with four-point boundary value conditions
... beam equation and further physical interpretation of that equation can be found in the work of Zill and Cullen [4, ...fixed-point technique is the most important technique for checking the ... See full document
13
A Method for Solving Fuzzy Differential Equations using fourth order Runge-kutta Embedded Heronian Means
... numerical solution for the first order fuzzy differential equation by using fourth order Runge-kutta method based on embedded heronian ... See full document
9
Variational iteration method for solving nth-order fuzzy integro-differential equations
... Saeid Moloudzadeh was born in the Naghadeh-Iran in 1976. He re- ceived B.Sc degree in mathematics and M.Sc degree in applied mathe- matics from Payam-e-Noor Univer- sity of Naghadeh, science and re- search Branch, IAU to ... See full document
8
Elimination of Hard-Nonlinearities Destructive Effects in Control Systems Using Approximate Techniques
... two-layer technique which comprises a nonlinear optimal controller and an adaptive friction compensator is ...approximate solution of HJB PDE using power series ...compensation technique works based ... See full document
6
Comparative Analysis of Finite Difference Methods for Solving Second Order Linear Partial Differential Equations
... the differential equations by the corresponding difference equation and then solving the latter by a process of ...to differential equations using finite difference equations to approximate ... See full document
7
Solution Of Integro-Differential Equation Of The Second Order With The Operators
... Definition 1.[5]. A continuous function 𝑓 satisfy a Lipschitz condition on the domain 𝐺 = {(𝑡, 𝑥): 𝑎 ≤ 𝑡 ≤ 𝑏, 𝑐 ≤ 𝑥 ≤ 𝑑} in the variable 𝑥 on 𝐺 if for all 𝐾 > 0 and (𝑡, 𝑥 1 ), (𝑡, 𝑥 2 ) ∈ 𝐺 , such that |𝑓(𝑡, 𝑥 1 ) − ... See full document
17
A Spatial Sixth Order Finite Difference Scheme for Time Fractional Sub-diffusion Equation with Variable Coefficient
... We organize the rest of this paper as follows. In Section 2, we give the derivation of the finite difference scheme for solving fractional sub-diffusion equation (1) under the conditions (2). Then in Section 3, ... See full document
7
Some results for fourth-order nonlinear differential equation with singularity
... with periodic boundary conditions, where c ≥ –(π/T) , f : R → R is continuous, T-peri- odic in t and has a superlinear behavior at and at infinity. Under these assumptions, they showed that for each positive integer ... See full document
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