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B‐spline solution of fractional integro partial differential equation with a weakly singular kernel
Numerical Methods for Partial Differential Equations, 2017The main objective of the paper is to find the approximate solution of fractional integro partial differential equation with a weakly singular kernel. Integro partial differential equation (IPDE) appears in the study of viscoelastic phenomena. Cubic B‐spline collocation method is employed for fractional IPDE.
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Applied Mathematics and Computation, 1999
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Tabata, Minoru +2 more
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Tabata, Minoru +2 more
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Mathematical Notes, 2017
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Bobodzhanov, A. A., Safonov, V. F.
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Bobodzhanov, A. A., Safonov, V. F.
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Integro-partial differential equation models for cell-cell adhesion and its application
2018In both health and disease, cells interact with one another through cellular adhesions. Normal development, wound healing, and metastasis all depend on these interactions. These phenomena are commonly studied using continuum models (partial differential equations).
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Neural Network for Solving Integro Partial Differential Equation
2022 2nd International Conference on Computing and Machine Intelligence (ICMI), 2022openaire +1 more source
Communications in Nonlinear Science and Numerical Simulation
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Sudarshan Santra, Ratikanta Behera
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Sudarshan Santra, Ratikanta Behera
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Approximation of integro-partial differential equations of hyperbolic type
2017Ph. D.
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Solving integral equations in free space with inverse-designed ultrathin optical metagratings
Nature Nanotechnology, 2023Andrea Cordaro, Andrea Alu
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DeepXDE: A Deep Learning Library for Solving Differential Equations
SIAM Review, 2021Lu Lu, George E Karniadakis
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Theoretical and Mathematical Physics
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