Results 11 to 20 of about 17,441,971 (121)

Higher-order finite-difference methods for partial differential equations [PDF]

open access: yes, 1997
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis develops two families of numerical methods, based upon rational approximations having distinct real poles, for solving first- and second-order ...
Cheema, Tasleem Akhter
core   +7 more sources

Backward difference replacements of the space derivative in first order hyperbolic equations [PDF]

open access: yes, 1983
Two families of two-time level difference schemes are developed for the numerical solution of first order hyperbolic partial differential equations with one space variable.
Khaliq, AQM, Twizell, EH
core   +6 more sources

High Order Fluctuation Splitting Schemes for Hyperbolic Conservation Laws [PDF]

open access: yes, 2007
This thesis presents the construction, the analysis and the verification of a new form of higher than second order fluctuation splitting discretisation for the solution of steady conservation laws on unstructured meshes.
Mebrate, Netsanet Zerihun
core   +7 more sources

Comparison of high-order methods on unstructured grids [PDF]

open access: yes, 2013
A high-order Discontinuous Galerkin (DG) method is formulated and implemented on the Cranfield University’s 3D unstructured Finite Volume Method (FVM) code (UCNS3D), for both linear and non-linear hyperbolic conservation laws and for test-cases which ...
Iqbal, Kashif H.
core   +7 more sources

Initial problem for a nonlinear integro-differential equation with a higher-order hyperbolic operator and with reflection of the argument

open access: yesDaghestan Electronic Mathematical Reports, 2020
In this paper it is studied the questions of one value solvability of initial value problem for nonlinear integro-differential equation with hyperbolic operator of the higher order, with degenerate kernel and reflective argument for regular values of spectral parameter.
T.K. Yuldashev, J.A. Artykova
openaire   +1 more source

A blow-up result for a higher-order nonlinear Kirchhoff-type hyperbolic equation

open access: yesApplied Mathematics Letters, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Salim A. Messaoudi, Belkacem Said Houari
openaire   +1 more source

The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions

open access: yesAbstract and Applied Analysis, 2013
The first integral method introduced by Feng is adopted for solving some important nonlinear partial differential equations, including the (2 + 1)-dimensional hyperbolic nonlinear Schrodinger (HNLS) equation, the generalized nonlinear Schrodinger (GNLS ...
Shoukry Ibrahim Atia El-Ganaini
doaj   +1 more source

Two Different Systematic Techniques to Seek Analytical Solutions of the Higher-Order Modified Boussinesq Equation

open access: yesIEEE Access, 2019
In this paper, we seek analytical solutions of the higher-order modified Boussinesq equation by two different systematic techniques. Employing the exp $(-\psi (z))$ -expansion method, exact solutions of the mentioned equation, including hyperbolic ...
Yongyi Gu, Yinying Kong
doaj   +1 more source

On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations [PDF]

open access: yes, 2015
We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two components.
Klein, Christian   +13 more
core   +1 more source

Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems [PDF]

open access: yes, 2006
We develop the convergence analysis of discontinuous Galerkin finite element approximations to second-order quasilinear elliptic and hyperbolic systems of partial differential equations of the form, respectively, $-\sum_{\alpha=1}^d \partial_{x_\alpha ...
Suli, Endre   +5 more
core   +1 more source

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