Mathematics, 2021 The neutral delay differential equations have many applications in the natural sciences, technology, and population dynamics. In this paper, we establish several new oscillation criteria for a kind of even-order quasi-linear neutral delay differential ...
Qingdao Huang, Rongrong Guo
exaly +2 more sources
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
Higher order parallel splitting methods for parabolic partial differential equations [PDF]
, 1995 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops two families of numerical methods, based upon new rational approximations to the matrix exponential function, for solving second-order ...
Taj, Malik Shahadat Ali
core +7 more sources
The adapted solution and comparison theorem for backward stochastic differential equations with Poisson jumps and applications [PDF]
, 2008 This paper deals with a class of backward stochastic differential equations with Poisson jumps and with random terminal times. We prove the existence and uniqueness result of adapted solution for such a BSDE under the assumption of non-Lipschitzian ...
Mao, Xuerong +2 more
core +4 more sources
On global regularity of 2D generalized magnetohydrodynamic equations [PDF]
, 2013 In this article we study the global regularity of 2D generalized magnetohydrodynamic equations (2D GMHD), in which the dissipation terms are –ν(–Δ)αu and –κ(–Δ)βb. We show that smooth solutions are global in the following three cases: α≥1/2, β≥1; 0≤α≤1/2,
Tran, Chuong Van +3 more
core +1 more source
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 +7 more sources
Spectral equivalences, Bethe ansatz equations, and reality properties in PT-symmetric quantum mechanics [PDF]
, 2001 The one-dimensional Schrodinger equation for the potential x(6)+alphax(2)+l (l+1)/x(2) has many interesting properties. For certain values of the parameters I and a the equation is in turn supersymmetric (Witten) and quasi-exactly solvable (Turbiner ...
Dunning, Clare +2 more
core +1 more source
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 +4 more sources
Localized direct boundary–domain integro–differential formulations for scalar nonlinear boundary-value problems with variable coefficients [PDF]
, 2005 Mixed boundary-value Problems (BVPs) for a second-order quasi-linear elliptic partial differential equation with variable coefficients dependent on the unknown solution and its gradient are considered.
Mikhailov, SE
core +6 more sources
Immersive virtual reality as a teaching tool in neuroanatomy: A scoping review
Anatomical Sciences Education, EarlyView.Abstract Basic core courses in various undergraduate programs, such as neuroanatomy, pose a challenge for students due to the large volume and complexity of the content. In this context, educational technologies such as immersive virtual reality (IVR), which allow students to actively interact with learning materials, offer a complementary pedagogical ...
Nathálya Gardênia de Holanda Marinho Nogueira +7 more
wiley +1 more source