Higher-order finite-difference methods for partial differential equations [PDF]
, 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
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Numerical methods for ordinary differential equations with applications to partial differential equations [PDF]
, 1983 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops a number of algorithms for the numerical solution of ordinary differential equations with applications to partial differential equations.
Khaliq, Abdul Qayyum Masud
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Backward difference replacements of the space derivative in first order hyperbolic equations [PDF]
, 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
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A family of difference schemes for fourth order parabolic partial differential equations [PDF]
, 1983 A family of methods is developed for the numerical solution of fourth order parabolic partial differential equations in one- and two-space variables.
Khaliq, AQM, Twizell, EH
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Poisson Λ-brackets for Differential–Difference Equations [PDF]
International Mathematics Research Notices, 2018 Abstract We introduce the notion of a multiplicative Poisson $\lambda$-bracket, which plays the same role in the theory of Hamiltonian differential–difference equations as the usual Poisson $\lambda$-bracket plays in the theory of Hamiltonian partial differential equations (PDE).
De Sole A. +3 more
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Three Results on the Nonlinear Differential Equations and Differential-Difference Equations
Mathematics, 2019 We mainly study the transcendental entire solutions of the differential equation f n ( z ) + P ( f ) = p 1 e α 1 z + p 2 e α 2 z , where p 1 , p 2 , α 1 and α 2 are nonzero
Jianxun Rong, Junfeng Xu
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Finite-difference solutions of tenth-order boundary-value problems [PDF]
, 1994 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.In this thesis finite difference methods are used to obtain numerical solutions for a class of high-order ordinary differential equations with applications ...
Siddiqui, Aijaz Ahmad
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Explicit solutions of rational integrable differential-difference equations
Partial Differential Equations in Applied Mathematics, 2022 The rational integrable differential-difference equations are proposed from a different discrete spectral problem. We proved the Liouville integrability of rational integrable differential-difference equations by deriving its bi-Hamiltonian structures ...
Qiulan Zhao, Muhammad Arham Amin
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Polynomial solutions of differential–difference equations
Journal of Approximation Theory, 2011 We investigate the zeros of polynomial solutions to the differential-difference equation \[ P_{n+1}(x)=A_{n}(x)P_{n}^{\prime}(x)+B_{n}(x)P_{n}(x), n=0,1,... \] where $A_{n}$ and $B_{n}$ are polynomials of degree at most 2 and 1 respectively. We address the question of when the zeros are real and simple and whether the zeros of polynomials of adjacent ...
Diego Dominici +2 more
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Lie point symmetries of differential–difference equations [PDF]
Journal of Physics A: Mathematical and Theoretical, 2010 17 pages, 1 ...
LEVI, Decio, Winternitz P, Yamilov RI
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