Numerical solution of two-dimensional Fredholm integral equations via modification of barycentric rational interpolation

Pan, Yuyang; Huang, Jin

doi:10.2991/amcce-17.2017.102

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2020

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Liu et al (16) in 2017 solved the two-dimensional linear Fredholm integral equations of the second kind by combining the meshless barycentric Lagrange interpolation functions and the Gauss-Legendre quadrature formula. Pan and Huang (17) in 2017 presented a modified barycentric rational interpolation method for solving two-dimensional integral equations. Tian and He (18) in 2018 used barycentric rational interpolation collocation method to solve higherorder boundary value problems.…”

Section: Introductionmentioning

confidence: 99%

Numerical Solution of Fractional Volterra-Fredholm Integro-Differential Equation Using Lagrange Polynomials

Salman

Mustfaf

2020

Baghdad Sci.J

View full text Add to dashboard Cite

In this study, a new technique is considered for solving linear fractional Volterra-Fredholm integro-differential equations (LFVFIDE's) with fractional derivative qualified in the Caputo sense. The method is established in three types of Lagrange polynomials (LP’s), Original Lagrange polynomial (OLP), Barycentric Lagrange polynomial (BLP), and Modified Lagrange polynomial (MLP). General Algorithm is suggested and examples are included to get the best effectiveness, and implementation of these types. Also, as special case fractional differential equation is taken to evaluate the validity of the proposed method. Finally, a comparison between the proposed method and other methods are taken to present the effectiveness of the proposal method in solving these problems.

show abstract

Section: Introductionmentioning

confidence: 99%