An $$h$$ h – $$p$$ p Version of the Continuous Petrov–Galerkin Finite Element Method for Nonlinear Volterra Integro-Differential Equations

Lijun Yi

doi:10.1007/s10915-015-9983-9

An $$h$$ h – $$p$$ p Version of the Continuous Petrov–Galerkin Finite Element Method for Nonlinear Volterra Integro-Differential Equations

Journal of Scientific Computing ◽

10.1007/s10915-015-9983-9 ◽

2015 ◽

Vol 65 (2) ◽

pp. 715-734 ◽

Cited By ~ 10

Author(s):

Lijun Yi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Differential Equations ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Element Method

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Galerkin finite element method for nonlinear fractional differential equations

Numerical Algorithms ◽

10.1007/s11075-020-01032-2 ◽

2021 ◽

Author(s):

Khadijeh Nedaiasl ◽

Raziyeh Dehbozorgi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Differential Equations ◽

Fractional Differential Equations ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Nonlinear Fractional Differential Equations ◽

Fractional Differential ◽

Element Method

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A Petrov-Galerkin finite element method using polyfractonomials to solve stochastic fractional differential equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.05.031 ◽

2021 ◽

Author(s):

Nazanin Abedini ◽

Ali Foroush Bastani ◽

Bijan Zohouri Zangeneh

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Differential Equations ◽

Fractional Differential Equations ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Fractional Differential ◽

Stochastic Fractional Differential Equations ◽

Element Method

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Weak Galerkin finite-element method for time-fractional nonlinear integro-differential equations

Computational and Applied Mathematics ◽

10.1007/s40314-020-1134-8 ◽

2020 ◽

Vol 39 (2) ◽

Author(s):

Haifeng Wang ◽

Da Xu ◽

Jing Guo

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Differential Equations ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Element Method

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An h-p Petrov-Galerkin finite element method for linear Volterra integro-differential equations

Science China Mathematics ◽

10.1007/s11425-014-4805-3 ◽

2014 ◽

Vol 57 (11) ◽

pp. 2285-2300 ◽

Cited By ~ 6

Author(s):

LiJun Yi ◽

BenQi Guo

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Differential Equations ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Element Method

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Solving Nonlinear Systems of First Order Ordinary Differential Equations Using a Galerkin Finite Element Method

IEEE Access ◽

10.1109/access.2013.2269192 ◽

2013 ◽

Vol 1 ◽

pp. 408-417 ◽

Cited By ~ 5

Author(s):

Ahmad Al-Omari ◽

Heinz-Bernd Schuttler ◽

Jonathan Arnold ◽

Thiab Taha

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Nonlinear Systems ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

First Order ◽

Element Method

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Global error control for the continuous Galerkin finite element method for ordinary differential equations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1994280708151 ◽

1994 ◽

Vol 28 (7) ◽

pp. 815-852 ◽

Cited By ~ 47

Author(s):

Donald Estep ◽

Donald French

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Error Control ◽

Global Error ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Continuous Galerkin ◽

Element Method

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The Weak Galerkin Finite Element Method for Solving the Time-Dependent Integro-Differential Equations

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2019-0088 ◽

2020 ◽

Vol 12 (1) ◽

pp. 164-188

Author(s):

Xiuli Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Differential Equations ◽

Time Dependent ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Element Method

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An $h$-$p$ Version of the Continuous Petrov--Galerkin Finite Element Method for Volterra Integro-Differential Equations with Smooth and Nonsmooth Kernels

SIAM Journal on Numerical Analysis ◽

10.1137/15m1006489 ◽

2015 ◽

Vol 53 (6) ◽

pp. 2677-2704 ◽

Cited By ~ 18

Author(s):

Lijun Yi ◽

Benqi Guo

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Differential Equations ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Element Method

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A Galerkin Finite Element Method for Two-Point Boundary Value Problems of Ordinary Differential Equations

Applied and Computational Mathematics ◽

10.11648/j.acm.20150402.15 ◽

2015 ◽

Vol 4 (2) ◽

pp. 64

Author(s):

Gentian Zavalani

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Point Boundary ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Element Method

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The Discontinuous Galerkin Finite Element Method for Ordinary Differential Equations

Perusal of the Finite Element Method ◽

10.5772/64967 ◽

2016 ◽

Cited By ~ 1

Author(s):

Mahboub Baccouch

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Discontinuous Galerkin ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Element Method

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