A Crank-Nicolson Difference Scheme for Solving a Type of Variable Coefficient Delay Partial Differential Equations by Wei Gu, Peng Wang

“…A linearized Crank-Nicolson difference scheme is constructed to solve a type of variable coefficient delay partial differential equations. The difference scheme is proved to be unconditionally stable and convergent, where the convergence order is two in both space and time. …”
Get full text

Numerical Contour Integral Methods for Free-Boundary Partial Differential Equations Arising in American Volatility Options Pricing by Yong Chen, Jianjun Ma

“…The aim of this paper is to study the numerical contour integral methods (NCIMs) for solving free-boundary partial differential equations (PDEs) from American volatility options pricing. …”
Get full text

Modeling and Analysis of Material Flows in Re-Entrant Supply Chain Networks Using Modified Partial Differential Equations by Fenglan He, Ming Dong, Xiaofeng Shao

“…The basic partial differential equation (PDE) models for supply chain networks with re-entrant nodes and their macroscopic are proposed. …”
Get full text

A Nonlinear Fractional Problem with a Second Kind Integral Condition for Time-Fractional Partial Differential Equation by Benbrahim Abdelouahab, Taki-Eddine Oussaeif, Adel Ouannas, Khaled M. Saad, Hadi Jahanshahi, Ahmed Diar, Awad M. Aljuaid, Ayman A. Aly

Get full text

Parameters identification for a model of T cell homeostasis by Houssein Ayoub, Bedreddine Ainseba, Michel Langlais, Rodolphe Thiébaut

Subjects: “…partial differential equations…”
Get full text

Visualisation of the numerical solution of partial differential equation systems in three space dimensions and its importance for mathematical models in biology by Heiko Enderling, Alexander R.A. Anderson, Mark A.J. Chaplain, Glenn W.A. Rowe

Subjects: “…partial differential equations…”
Get full text

Analytical Solutions of Black-Scholes Partial Differential Equation of Pricing for Valuations of Financial Options using Hybrid Transformation Methods by Zainab Olabisi Dere, Gbeminiyi Musibau Sobamowo, Antonio Marcos de Oliveira Siqueira

Subjects: “…Black–Scholes model; Partial differential Equation; Financial Market; Option pricing; Laplace-differential transformation method.…”
Get full text

Corrigendum to “A Three-Point Boundary Value Problem with an Integral Condition for a Third-Order Partial Differential Equation” by C. Latrous, A. Memou

Get full text

An asymptotic expansion of the solution of a semi-linear partial differential equation implied by a nonlinear Feynman–Kac formula by Kaori Okuma

“…This paper introduces an asymptotic expansion for the smooth solution of a semi-linear partial differential equation. Our scheme is based on Itô’s formula, Taylor’s expansion, nonlinear Feynman–Kac formula and some algebras.…”
Get full text

Solving Nonlinear Partial Differential Equations By Using Adomian Decomposition Method, Modified Decomposition Method And Laplace Decomposition Method by Ömer Faruh Gözükızıl, Hami Gündoğdu

“…And then, the inhomogeneous Boussinesq equation and another nonlinear partial differential equation subject to given initial values are solved by using LDM. …”
Get full text

A novel approach to $ \mathit{q} $-fractional partial differential equations: Unraveling solutions through semi-analytical methods by Khalid K. Ali, Mohamed S. Mohamed, M. Maneea

Subjects: “…$ \mathit{q} $-fractional partial differential equations…”
Get full text

Interior Peak Solutions for a Semilinear Dirichlet Problem by Hissah Alharbi, Hibah Alkhuzayyim, Mohamed Ben Ayed, Khalil El Mehdi

Subjects: “…partial differential equations…”
Get full text

A General Mathematical Method for Investigating the Thymic Microenvironment, Thymocyte Development, and Immunopathogenesis by Guanyu Wang, Gerhard R. F. Krueger

Subjects: “…partial differential equations.…”
Get full text

A model for asymmetrical cell division by Ali Ashher Zaidi, Bruce Van Brunt, Graeme Charles Wake

Subjects: “…hyperbolic partial differential equations.…”
Get full text

Local estimates for functionals rotationally invariant with respect to the gradient by Telma João Santos

Subjects: Get full text

Controlling malaria with indoor residual spraying in spatially heterogenous environments by Mo'tassem Al-Arydah, Robert Smith?

Subjects: Get full text

The role of feedback in the formation of morphogen territories by David Iron, Adeela Syed, Heidi Theisen, Tamas Lukacsovich, Mehrangiz Naghibi, Lawrence J. Marsh, Frederic Y. M. Wan, Qing Nie

Subjects: Get full text

The Dual Characteristic-Galerkin Method by Hecht, Frédéric, Pironneau, Olivier

Subjects: “…Partial differential equations…”
Get full text

Fractional Partial Differential Equation: Fractional Total Variation and Fractional Steepest Descent Approach-Based Multiscale Denoising Model for Texture Image by Yi-Fei Pu, Ji-Liu Zhou, Patrick Siarry, Ni Zhang, Yi-Guang Liu

“…The traditional integer-order partial differential equation-based image denoising approaches often blur the edge and complex texture detail; thus, their denoising effects for texture image are not very good. …”
Get full text

Optimal Control Method of Parabolic Partial Differential Equations and Its Application to Heat Transfer Model in Continuous Cast Secondary Cooling Zone by Yuan Wang, Xiaochuan Luo, Sai Li

“…Our work is devoted to a class of optimal control problems of parabolic partial differential equations. Because of the partial differential equations constraints, it is rather difficult to solve the optimization problem. …”
Get full text