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

Subjects: “…hyperbolic partial differential equations.…”
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Local estimates for functionals rotationally invariant with respect to the gradient by Telma João Santos

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

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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

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

Subjects: “…Partial differential equations…”
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Nonlinear scale-space based boundary localization for nonideal iris by Hong-lin WAN, Bao-sheng LI, Min HAN, Deng-wang LI

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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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Non-intrusive implementation of a wide variety of Multiscale Finite Element Methods by Biezemans, Rutger A., Le Bris, Claude, Legoll, Frédéric, Lozinski, Alexei

Subjects: “…Partial differential equations…”
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Adjoint sensitivity analysis of a tumor growth model and its application to spatiotemporal radiotherapy optimization by Krzysztof Fujarewicz, Krzysztof Łakomiec

Subjects: “…partial differential equations…”
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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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