Automatic Recognition Method of Letter Images in English Self-Learning Based on Partial Differential Equation Method by Yu Zhao, Shuping Du, Ran Li, Hong Yue

“…To solve this problem, this paper proposes a new recognition model of partial differential equations based on mean curvature motion. …”
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Analytical and Numerical Methods for Solving Partial Differential Equations and Integral Equations Arising in Physical Models 2014 by Santanu Saha Ray, Rasajit K. Bera, Adem Kılıçman, Om P. Agrawal, Yasir Khan

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Laplace Transform Methods for a Free Boundary Problem of Time-Fractional Partial Differential Equation System by Zhiqiang Zhou, Xuemei Gao

“…This pricing problem can be formulated as a free boundary problem of time-fractional partial differential equation (FPDE) system. Firstly, applying Laplace transform to the governing FPDEs with respect to the time variable results in second-order ordinary differential equations (ODEs) with two free boundaries. …”
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Noise Data Removal and Image Restoration Based on Partial Differential Equation in Sports Image Recognition Technology by Shi Junmei

“…Facing the low quality of image information in the process of sports, this paper proposes to remove the noise data and repair the image based on the partial differential equation system in image recognition technology. …”
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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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Boundary value problems for the diffusion equation with piecewise continuous time delay by Joseph Wiener, Lokenath Debnath

Subjects: “…partial differential equations…”
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Function theory for a beltrami algebra by B. A. Case

Subjects: “…elliptic system of partial differential equations…”
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Cell scale modeling of electropermeabilization by periodic pulses by Michael Leguèbe

Subjects: “…non-linear partial differential equations.…”
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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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