[PDF] Top 20 On the use of splines in the numerical solution of hyperbolic partial differential equations
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On the use of splines in the numerical solution of hyperbolic partial differential equations
... the splines scheme only contains a fourth order derivative term when solving the wave equation, the truncation error for the comparable finite difference scheme contains both a third and fourth order derivative ... See full document
125
The Use of Cubic Splines in the Numerical Solution of Fractional Differential Equations
... 6 C. X. Jiang, J. E. Carletta, and T. T. Hartley, “Implementation of fractional-order operators on field pro- grammable gate arrays,” in Advances in Fractional Calculus: Theoretical Developments and Applications in ... See full document
17
Indirect RBFN method with thin plate splines for numerical solution of differential equations
... ical solution schemes since it is a steady state flow in which the inertia terms do not vanish identically (as they do in flow between infinite parallel plates or Poiseuille flow) and an exact solution can ... See full document
18
Numerical Solution of Functional Integral and Integro Differential Equations by Using B Splines
... to numerical solution of integro-differential equa- ...integral equations and integro differential equations with numerical ... See full document
5
A Computational Study with Finite Difference Methods for Second Order Quasilinear Hyperbolic Partial Differential Equations in Two Independent Variables
... quasilinear hyperbolic Partial Differential Equations (PDEs) with appropriate initial and boundary conditions serve as models in many branches of physics, engineering, biology, ...the ... See full document
32
A Powell-Sabin finite element scheme for partial differential equations
... PS splines and their ...the solution of elliptic problem by means of PS finite ...the solution of hyperbolic problems: the isothermal Euler equations are considered, and a stabilized ... See full document
13
Numerical studies of non-local hyperbolic partial differential equations using collocation methods
... non-local hyperbolic partial differential equations have many applications in sciences and ...the numerical solution of the wave equation subject to nonlocal boundary ... See full document
13
Wavelet based Galerkin Method for the Numerical Solution of One Dimensional Partial Differential Equations
... exact solution of an arbitrary differential ...of differential equations leading to numerical solutions, or their qualitative study which is concerned with deduction of important ... See full document
11
Numerical solution methods for fractional partial differential equations
... Fractional partial differential equations have been developed in many different fields such as physics, finance, fluid mechanics, viscoelasticity, engineering and ...these equations is their ... See full document
464
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 ...differential equations. Lin and Xu [] pro- posed ... 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
... linear hyperbolic pde has also been ...quasilinear hyperbolic pdes irrespective of the coordinate system, which brings an edge over other existing ... See full document
28
The numerical solution of boundary value problems in partial differential equations
... ordinary differential equations, is asymptotically stable (in the Liapunov sense) if and only if 1° is bounded as n -* «, and the matrix U is positive seoi-definite; and that the aero vector, £ , is a ... See full document
157
Unequally spaced knot techniques for the numerical solution of partial differential equations
... The one-dimensional wave equation was again considered in case studies 1.2 and 2.2. In this case the initial condition was chosen to be non-symmetrical and resulted in a wave form in which the peak of the wave moves in ... See full document
190
Stability of numerical solution for partial differential equations with piecewise constant arguments
... to use numerical methods to approximate ...the numerical study of EPCA is very late and ...of numerical solutions for EPCA have been reported ...of numerical treatment of partial ... See full document
13
One Dimensional Explicit Tolesa Numerical Scheme for Solving First Order Hyperbolic Equations and Its Application to Macroscopic Traffic Flow Model
... Hyperbolic partial differential equation of conservation laws has recently re- ceived great attention and many books have been published in this area [1] [2] [3] ...[4]. Hyperbolic PDEs ... See full document
19
An efficient indirect RBFN-based method for numerical solution of PDEs
... for numerical solution of partial differential equations ...of solution accuracy and convergence rate ...of equations obtained in the former is about N times as big as ... See full document
35
hp Version discontinuous Galerkin methods on polygonal and polyhedral meshes
... elliptic partial differential equations; see, for example, ...the numerical solution of first–order hyperbolic problems in the early 1970s by Reed & Hill in ...of ... See full document
33
NUMERICAL SOLUTION OF THE INTERRELATED DIFFERENTIAL EQUATION OF MOTION IN PHONON ENGINEERING
... ordinary differential equation and two interrelated second order differential equations for 3 polarizations according to 3 ...interrelated equations cannot be solved by usual numerical ... See full document
7
The Use of Numerical Simulations in the Development of Tools for the Sheet-Metal Parts of Cars
... with numerical simulations report the same problems, regardless of the software used ([6] and ...The use of numerical simulations is reasonable, despite the fact that the use of a ... See full document
10
An ALE ESFEM for solving PDEs on evolving surfaces
... bulk equations in one space dimension ...to use bulk finite element ...surface partial differential equations on all level sets of a prescribed function yielding degenerate bulk ... See full document
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