A method for analyzing the stability of the resting state for a model ofpacemaker cells surrounded by stable cells by Robert Artebrant, Aslak Tveito, Glenn T. Lines

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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. …”
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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. …”
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A Numerical Computation of a System of Linear and Nonlinear Time Dependent Partial Differential Equations Using Reduced Differential Transform Method by Brajesh Kumar Singh, Mahendra

“…This paper deals with an analytical solution of an initial value system of time dependent linear and nonlinear partial differential equations by implementing reduced differential transform (RDT) method. …”
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Application of Image Recognition Algorithm Based on Partial Differential Equation and Wavelet Transform in the Intelligent Linkage System of Government Urban Public Management by Xinyu Xu

“…The method of mathematical modeling is used to combine the improved wavelet domain Wiener filter and the comprehensive model of partial differential equations. This paper proposes an image recognition algorithm based on partial differential equations and wavelet transform. …”
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Dynamical behavior analysis and traveling wave solution of stochastic Riemann wave equations by Jie Luo, Jiangtao Guo, Yan Shao, Guangxu Zhao, Min Jiao

Subjects: “…Partial differential equation…”
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Balancing the Potential Gauging Process Applied to Wave Propagation for Arbitrary Space-Times by Thomas Reum

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Solution of the First Boundary-Value Problem for a System of Autonomous Second-Order Linear Partial Differential Equations of Parabolic Type with a Single Delay by Josef Diblík, Denis Khusainov, Oleksandra Kukharenko, Zdeněk Svoboda

“…The first boundary-value problem for an autonomous second-order system of linear partial differential equations of parabolic type with a single delay is considered. …”
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Competition of motile and immotile bacterial strains in a petri dish by Silogini Thanarajah, Hao Wang

Subjects: “…partial differential equation.…”
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Structural calculations and propagation modeling of growing networks based on continuous degree by Junbo Jia, Zhen Jin, Lili Chang, Xinchu Fu

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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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An analytic solution of the non-linear equation ∇2λ(r)=f(λ) and its application to the ion-atmosphere theory of strong electrolytes by S. N. Bagchi

Subjects: “…non-linear partial differential equation…”
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Two-scale convergence analysis and numerical simulation for periodic Kirchhoff plates by Zhiwei Huang, Xiaomiao Zeng, Chen Wang, Chongren Liu

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Conservation Law Analysis in Numerical Schema for a Tumor Angiogenesis PDE System by Pasquale De Luca, Livia Marcellino

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

Subjects: “…partial differential equations…”
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Mathematical model and its solution for water-altering-gas (WAG) injection process incorporating the effect of miscibility, gravity, viscous fingering and permeability heterogeneit... by Mohammad Yunus Khan

Subjects: “…Quasi-linear partial differential equation…”
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Interior Peak Solutions for a Semilinear Dirichlet Problem by Hissah Alharbi, Hibah Alkhuzayyim, Mohamed Ben Ayed, Khalil El Mehdi

Subjects: “…partial differential equations…”
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A General Mathematical Method for Investigating the Thymic Microenvironment, Thymocyte Development, and Immunopathogenesis by Guanyu Wang, Gerhard R. F. Krueger

Subjects: “…partial differential equations.…”
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