Solutions of Fermat-Type Partial Differential–Difference Equations in $$\pmb {{\mathbb {C}}^n}$$ [PDF]
Mediterranean Journal of Mathematics, 2023 For two meromorphic functions $ f $ and $ g $, the equation $ f^m+g^m=1 $ can be regarded as Fermat-type equations. Using Nevanlinna theory for meromorphic functions in several complex variables, the main purpose of this paper is to investigate the properties of the transcendental entire solutions of Fermat-type difference and partial differential ...
Ling Xu, Tingbin Cao
openaire +4 more sources
New Integrable Multicomponent Nonlinear Partial Differential-Difference Equations [PDF]
Journal of Nonlinear Mathematical Physics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sahadevan, R., Balakrishnan, S.
openaire +1 more source
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
core +7 more sources
Implicit methods for the simple wave equation [PDF]
, 1984 A family of finite difference methods is developed for the numerical solution of the simple wave equation. Local truncation errors are cal- culated for each member of the family and each is analyzed for stability.
Tirmizi, S I A, Twizell, E H
core +4 more sources
The Study of Solutions of Several Systems of Nonlinear Partial Differential Difference Equations
Journal of Function Spaces, 2022 Our main aim is to describe the entire solutions of several systems of
Hong Yan Xu, Meiying Yu, Keyu Zhang
openaire +2 more sources
The numerical solution of elliptic and parabolic partial differential equations with boundary singularities [PDF]
, 1976 A general numerical method is described for the solution of linear elliptic and parabolic partial differential equations in the presence of boundary singularities.
Furzeland, RM, Crank, J
core +4 more sources
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
core +6 more sources
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
core +6 more sources
(Revised) The numerical solution of elliptic and parabolic partial differential equations with boundary singularities [PDF]
, 1977 A general numerical method is described for the solution of linear elliptic and parabolic partial differential equations in the presence of boundary singularities.
Furzeland, RM, Crank, J
core +3 more sources
Entire solutions for several complex partial differential-difference equations of Fermat type in ℂ2 [PDF]
Open Mathematics, 2021 Abstract By utilizing the Nevanlinna theory of meromorphic functions in several complex variables, we mainly investigate the existence and the forms of entire solutions for the partial differential-difference equation of Fermat type
Gui Xian Min +3 more
openaire +3 more sources