A New Generalized Chebyshev Matrix Algorithm for Solving Second-Order and Telegraph Partial Differential Equations by Waleed Mohamed Abd-Elhameed, Ramy M. Hafez, Anna Napoli, Ahmed Gamal Atta

“…This article proposes numerical algorithms for solving second-order and telegraph linear partial differential equations using a matrix approach that employs certain generalized Chebyshev polynomials as basis functions. …”
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A Coupling Method of New EMFE and FE for Fourth-Order Partial Differential Equation of Parabolic Type by Yang Liu, Hong Li, Zhichao Fang, Siriguleng He, Jinfeng Wang

“…We propose and analyze a new numerical method, called a coupling method based on a new expanded mixed finite element (EMFE) and finite element (FE), for fourth-order partial differential equation of parabolic type. We first reduce the fourth-order parabolic equation to a coupled system of second-order equations and then solve a second-order equation by FE method and approximate the other one by a new EMFE method. …”
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Approximate analytical solution of a class of highly nonlinear time–fractional-order partial differential equations by Richard Olu Awonusika

“…Partial Differential Equations in Applied Mathematics…”
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The performance evaluation of chaotic maps in estimating the shape parameters of radial basis functions to solve partial differential equations by Javad Alikhani Koupaei, Mohammad Javad Ebadi, Majid Iran Pour

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A three-point boundary value problem with an integral condition for a third-order partial differential equation by C. Latrous, A. Memou

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Application of Nonlinear Time-Fractional Partial Differential Equations to Image Processing via Hybrid Laplace Transform Method by B. A. Jacobs, C. Harley

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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. …”
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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. …”
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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. …”
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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

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A dynamic model of CT scans for quantifying doubling time of ground glass opacities using histogram analysis by József Z. Farkas, Gary T. Smith, Glenn F. Webb

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On the Schrödinger-parabolic equation with multipoint nonlocal boundary condition by Yıldırım Özdemir

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

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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.…”
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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. …”
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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…”
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A duality theorem for solutions of elliptic equations by Pierre Blanchet

Subjects: “…partial differential equations…”
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Unfixed Bias Iterator: A New Iterative Format by Zeqing Zhang, Xue Wang, Jiamin Shen, Man Zhang, Sen Yang, Fanchang Yang, Wei Zhao, Jia Wang

Subjects: “…Partial differential equations…”
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