Solvability of an elliptic partial differential equation with boundary condition involving fractional derivatives

Complex Variables and Elliptic Equations ◽

10.1080/17476933.2013.777711 ◽

2013 ◽

Vol 59 (5) ◽

pp. 680-692 ◽

Author(s):

A.S. Berdyshev ◽

B.J. Kadirkulov ◽

J.J. Nieto

Keyword(s):

Differential Equation ◽

Boundary Condition ◽

Partial Differential Equation ◽

Fractional Derivatives ◽

Elliptic Partial Differential Equation ◽

Partial Differential

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SOLVING ELLIPTIC PARTIAL DIFFERENTIAL EQUATION WITH DIRICHLET BOUNDARY CONDITIONS BASED ON NEURAL NETWORKS AND EXTREME LERANING MACHINE

KỶ YẾU HỘI NGHỊ KHOA HỌC CÔNG NGHỆ QUỐC GIA LẦN THỨ XIII NGHIÊN CỨU CƠ BẢN VÀ ỨNG DỤNG CÔNG NGHỆ THÔNG TIN - Proceedings of the 13th National Conference on Fundamental & Applied Information Technology Research ◽

10.15625/vap.2020.00160 ◽

2020 ◽

Author(s):

Ho Dac Quan ◽

Huynh Trung Hieu

Keyword(s):

Differential Equation ◽

Neural Networks ◽

Partial Differential Equation ◽

Boundary Conditions ◽

Dirichlet Boundary ◽

Elliptic Partial Differential Equation ◽

Dirichlet Boundary Conditions ◽

Partial Differential

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A study of the singularities of solutions of a class of nonlinear elliptic partial differential equation

Communications in Partial Differential Equations ◽

10.1080/03605308208820234 ◽

1982 ◽

Vol 7 (5) ◽

pp. 609-643 ◽

Author(s):

Patricio Aviles

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Elliptic Partial Differential Equation ◽

Partial Differential ◽

Nonlinear Elliptic

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On the inverse problem of the Sturm-Liouville type for a linear elliptic partial differential equation with constant coefficients of the second order

Annales Polonici Mathematici ◽

10.4064/ap-24-3-331-341 ◽

1971 ◽

Vol 24 (3) ◽

pp. 331-341

Author(s):

Jan Bochenek

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Inverse Problem ◽

Elliptic Partial Differential Equation ◽

Second Order ◽

Liouville Type ◽

Partial Differential ◽

Constant Coefficients ◽

Sturm Liouville

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Cloaking for a quasi-linear elliptic partial differential equation

Inverse Problems & Imaging ◽

10.3934/ipi.2018020 ◽

2018 ◽

Vol 12 (2) ◽

pp. 461-491 ◽

Author(s):

Tuhin Ghosh ◽

◽

Karthik Iyer ◽

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Elliptic Partial Differential Equation ◽

Partial Differential

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Numerical solution of elliptic partial differential equation by growing radial basis function neural networks

Proceedings of the International Joint Conference on Neural Networks, 2003. ◽

10.1109/ijcnn.2003.1223302 ◽

2004 ◽

Author(s):

Jianyu Li ◽

Siwei Luo ◽

Yingjian Qi ◽

Yaping Huang

Keyword(s):

Differential Equation ◽

Neural Networks ◽

Partial Differential Equation ◽

Radial Basis Function ◽

Numerical Solution ◽

Basis Function ◽

Elliptic Partial Differential Equation ◽

Partial Differential ◽

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First-Order Partial Differential Equation with a Nonlocal Boundary Condition

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2017.1317002 ◽

2017 ◽

Vol 38 (10) ◽

pp. 1373-1389

Author(s):

Abdullah S. Erdogan ◽

Sueda N. Tekalan

Keyword(s):

Differential Equation ◽

Boundary Condition ◽

Partial Differential Equation ◽

Nonlocal Boundary Condition ◽

Nonlocal Boundary ◽

Order Partial Differential Equation ◽

Partial Differential ◽

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Error estimate of finite element/finite difference technique for solution of two-dimensional weakly singular integro-partial differential equation with space and time fractional derivatives

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.12.028 ◽

2019 ◽

Vol 356 ◽

pp. 314-328 ◽

Author(s):

Mehdi Dehghan ◽

Mostafa Abbaszadeh

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Finite Element ◽

Finite Difference ◽

Error Estimate ◽

Fractional Derivatives ◽

Two Dimensional ◽

Partial Differential ◽

Finite Difference Technique ◽

Weakly Singular

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A finite-difference procedure to solve weakly singular integro partial differential equation with space-time fractional derivatives

Engineering With Computers ◽

10.1007/s00366-020-00936-w ◽

2020 ◽

Author(s):

Mostafa Abbaszadeh ◽

Mehdi Dehghan

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Finite Difference ◽

Fractional Derivatives ◽

Partial Differential ◽

Weakly Singular

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Reconstruction for the coefficients of a quasilinear elliptic partial differential equation

Applied Mathematics Letters ◽

10.1016/j.aml.2019.06.009 ◽

2019 ◽

Vol 98 ◽

pp. 121-127 ◽

Author(s):

Cătălin I. Cârstea ◽

Gen Nakamura ◽

Manmohan Vashisth

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Elliptic Partial Differential Equation ◽

Partial Differential ◽

Quasilinear Elliptic

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High order convergent modified nodal bi‐cubic spline collocation method for elliptic partial differential equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22463 ◽

2020 ◽

Vol 36 (5) ◽

pp. 1028-1043

Author(s):

Suruchi Singh ◽

Swarn Singh

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Collocation Method ◽

Elliptic Partial Differential Equation ◽

Cubic Spline ◽

Spline Collocation ◽

Partial Differential ◽

Spline Collocation Method ◽

Cubic Spline Collocation

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