Zobrazeno 1 - 10
of 315
pro vyhledávání: '"Patricia J. Y. Wong"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 9, Pp 24699-24721 (2024)
Financial engineering problems hold considerable significance in the academic realm, where there remains a continued demand for efficient methods to scrutinize and analyze these models. Within this investigation, we delved into a fractional nonlinear
Externí odkaz:
https://doaj.org/article/d81947120386405db36529057fe25ab8
Publikováno v:
Mathematics, Vol 11, Iss 9, p 2034 (2023)
This article presents a study on singularly perturbed 1D parabolic Dirichlet’s type differential equations with discontinuous source terms on an interior line. The time derivative is discretized using the Euler backward method, followed by the appl
Externí odkaz:
https://doaj.org/article/de7aac78ef424cbe96d596c1f04e941b
Autor:
Qinxu Ding, Patricia J. Y. Wong
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-27 (2020)
Abstract In this paper, we shall solve a time-fractional nonlinear Schrödinger equation by using the quintic non-polynomial spline and the L1 formula. The unconditional stability, unique solvability and convergence of our numerical scheme are proved
Externí odkaz:
https://doaj.org/article/a3f67b3149eb4811b6b82f6fb0d02695
Autor:
Chunqing Wu, Patricia J. Y. Wong
Publikováno v:
Journal of Biological Dynamics, Vol 13, Iss 1, Pp 1-25 (2019)
In this paper, we establish a mathematical model with two delays to reflect the intrinsic and extrinsic incubation periods of virus in dengue transmission. The basic reproduction number $ R_0 $ of the model is defined. It is proved that the disease-f
Externí odkaz:
https://doaj.org/article/7d66ad76262843ecb17fc3e22abca69e
Autor:
Xuhao Li, Patricia J. Y. Wong
Publikováno v:
Mathematics, Vol 10, Iss 8, p 1219 (2022)
In this paper, a numerical scheme based on a general temporal mesh is constructed for a generalized time-fractional diffusion problem of order α. The main idea involves the generalized linear interpolation and so we term the numerical scheme the gL1
Externí odkaz:
https://doaj.org/article/ce4d158b1f154b00a8bb63f81d3dd7b7
Autor:
Qinxu Ding, Patricia J. Y. Wong
Publikováno v:
Boundary Value Problems, Vol 2018, Iss 1, Pp 1-16 (2018)
Abstract In this paper, a mid-knot cubic non-polynomial spline is applied to obtain the numerical solution of a system of second-order boundary value problems. The numerical method is proved to be uniquely solvable and it is of second-order accuracy.
Externí odkaz:
https://doaj.org/article/2cf011cc7cd14804ae9b1a6fa301887b
Autor:
Ravi Agarwal, Patricia J. Y. Wong
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2012, Iss 60, Pp 1-20 (2012)
We consider the following complementary Lidstone boundary value problem $$\begin{array}{c}(-1)^{m}y^{(2m+1)}(t)= F(t,y(t), y'(t)),~~t\in[0,1]\\ y(0)=0, y^{(2k-1)}(0)=y^{(2k-1)}(1)=0, 1\leq k\leq m. \end{array}$$ The nonlinear term $F$ depends on $y'$
Externí odkaz:
https://doaj.org/article/8b484991aadc4dc894ccf7809ed46b04
Autor:
Yuji Liu, Patricia J. Y. Wong
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2012, Iss 23, Pp 1-28 (2012)
By applying Leggett-Williams fixed point theorem in a suitably constructed cone, we obtain the existence of at least three bounded positive solutions for a boundary value problem on the half line. Our result improves and complements some of the work
Externí odkaz:
https://doaj.org/article/f3474e829df04ea8b0d8405a5807a4b2
Publikováno v:
Electronic Journal of Differential Equations, Vol 2011, Iss 104,, Pp 1-19 (2011)
We consider two systems of Volterra integral equations $$ u_i(t)=h_i(t) + int_{0}^{t}g_i(t,s)f_i(s,u_1(s),u_2(s),dots, u_n(s))ds, quad 1leq ileq n $$ where t is in the closed interval $[0,T]$, or in the half-open interval $[0,T)$. By an argument orig
Externí odkaz:
https://doaj.org/article/d1bffbbd83f045a583022e6053698e48
Autor:
Patricia J. Y. Wong
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2009, Iss 30, Pp 1-15 (2009)
We consider the system of Volterra integral equations $$ \begin{array}{l} u_i(t)=\int_{0}^{t}g_i(t,s)[P_i(s,u_1(s),u_2(s),\cdots, u_n(s)) + Q_i(s,u_1(s),u_2(s),\cdots, u_n(s))]ds, t\in [0,T],1\leq i\leq n \end{array} $$ where $T>0$ is fixed and the n
Externí odkaz:
https://doaj.org/article/ce924427a6f049ba9607961a325da46e