Volterra-Fredholm Integral Equations; Collocation Methods; Splines - Articles

Cubic Spline Approximation for Weakly Singular Integral Models (Articles)

Franca Caliò, Elena Marchetti

Applied Mathematics Vol.4 No.11, November 5, 2013

DOI: 10.4236/am.2013.411211 3,864 Downloads 6,074 Views Citations
Collocation Method for Nonlinear Volterra-Fredholm Integral Equations (Articles)

Jafar Ahmadi Shali, Parviz Darania, Ali Asgar Jodayree Akbarfam

Open Journal of Applied Sciences Vol.2 No.2, June 27, 2012

DOI: 10.4236/ojapps.2012.22016 6,186 Downloads 11,942 Views Citations
The Adomian Decomposition Method for Solving Volterra-Fredholm Integral Equation Using Maple (Articles)

Hunida M. Malaikah

Applied Mathematics Vol.11 No.8, August 27, 2020

DOI: 10.4236/am.2020.118052 801 Downloads 3,833 Views Citations
Solving high-order nonlinear Volterra-Fredholm integro-differential equations by differential transform method (Articles)

Salah H. Behiry, Saied I. Mohamed

Natural Science Vol.4 No.8, August 29, 2012

DOI: 10.4236/ns.2012.48077 7,974 Downloads 15,000 Views Citations
Comparison between Adomian’s Decomposition Method and Toeplitz Matrix Method for Solving Linear Mixed Integral Equation with Hilbert Kernel (Articles)

Fatheah Ahmed Hendi, Manal Mohamed Al-Qarni

American Journal of Computational Mathematics Vol.6 No.2, June 30, 2016

DOI: 10.4236/ajcm.2016.62019 2,455 Downloads 4,022 Views Citations
Collocation Technique for Numerical Solution of Integral Equations with Certain Orthogonal Basis Function in Interval [0, 1] (Articles)

O. L. Babasola, I. Irakoze

Open Access Library Journal Vol.4 No.12, December 15, 2017

DOI: 10.4236/oalib.1104050 704 Downloads 3,378 Views Citations
An Integral Collocation Approach Based on Legendre Polynomials for Solving Riccati, Logistic and Delay Differential Equations (Articles)

M. M. Khader, A. M. S. Mahdy, M. M. Shehata

Applied Mathematics Vol.5 No.15, August 19, 2014

DOI: 10.4236/am.2014.515228 6,625 Downloads 8,451 Views Citations
A New Technique for Solving Fractional Order Systems: Hermite Collocation Method (Articles)

Nilay Akgonullu Pirim, Fatma Ayaz

Applied Mathematics Vol.7 No.18, December 12, 2016

DOI: 10.4236/am.2016.718182 6,623 Downloads 8,782 Views Citations
This article belongs to the Special Issue on Fractional Calculus and its Application
Solving Systems of Volterra Integral Equations with Cardinal Splines (Articles)

Xiaoyan Liu, Zhi Liu, Jin Xie

Journal of Applied Mathematics and Physics Vol.3 No.11, November 23, 2015

DOI: 10.4236/jamp.2015.311170 2,733 Downloads 4,172 Views Citations
Hermite Matrix Polynomial Collocation Method for Linear Complex Differential Equations and Some Comparisons (Articles)

Mina Bagherpoorfard, Fahime Akhavan Ghassabzade

Journal of Applied Mathematics and Physics Vol.1 No.5, October 23, 2013

DOI: 10.4236/jamp.2013.15009 4,850 Downloads 8,728 Views Citations
Mixture of a New Integral Transform and Homotopy Perturbation Method for Solving Nonlinear Partial Differential Equations (Articles)

Artion Kashuri, Akli Fundo, Matilda Kreku

Advances in Pure Mathematics Vol.3 No.3, May 8, 2013

DOI: 10.4236/apm.2013.33045 5,729 Downloads 11,548 Views Citations
A Proof of the Non-Singularity of the D Matrix Used in Deriving the Two—Step Butcher’s Hybrid Scheme for the Solution of Initial Value Problems (Articles)

R. O. Akinola, K. J. Ajibade

Journal of Applied Mathematics and Physics Vol.9 No.12, December 29, 2021

DOI: 10.4236/jamp.2021.912208 337 Downloads 1,330 Views Citations
New Implementation of Legendre Polynomials for Solving Partial Differential Equations (Articles)

Ali Davari, Abozar Ahmadi

Applied Mathematics Vol.4 No.12, December 3, 2013

DOI: 10.4236/am.2013.412224 5,966 Downloads 9,814 Views Citations
Fully Discrete Orthogonal Collocation Method of Sobolev Equations (Articles)

Ning Ma, Wenliang Bian, Xiaofei Lu

Journal of Applied Mathematics and Physics Vol.5 No.12, December 27, 2017

DOI: 10.4236/jamp.2017.512192 1,007 Downloads 2,062 Views Citations
Numerical Solution of the Fredholme-Volterra Integral Equation by the Sinc Function (Articles)

Ali Salimi Shamloo, Sanam Shahkar, Alieh Madadi

American Journal of Computational Mathematics Vol.2 No.2, June 22, 2012

DOI: 10.4236/ajcm.2012.22019 5,062 Downloads 10,553 Views Citations
A Closed-Form Solution of a Kinetic Integral Equation for Rarefied Gas Flow in a Cylindrical Duct (Articles)

Carmo Henrique Kamphorst, Patricia Rodrigues, Liliane Basso Barichello

Applied Mathematics Vol.5 No.10, June 3, 2014

DOI: 10.4236/am.2014.510145 3,441 Downloads 5,153 Views Citations
The Numerical Solutions of Systems of Nonlinear Integral Equations with the Spline Functions (Articles)

Xiaoyan Liu, Yurong Pan

Journal of Applied Mathematics and Physics Vol.8 No.3, March 12, 2020

DOI: 10.4236/jamp.2020.83037 896 Downloads 2,422 Views Citations
This article belongs to the Special Issue on Differential Dynamical Systems
Propagation Modelling Using Integral Equation Methods to Enable Co-existence and Address Physical Layer Security Issues in Cognitive Radio (Articles)

Eamonn O. Nuallain

International Journal of Communications, Network and System Sciences Vol.4 No.3, March 10, 2011

DOI: 10.4236/ijcns.2011.43017 4,048 Downloads 8,504 Views Citations
A New Approach for a Class of Optimal Control Problems of Volterra Integral Equations (Articles)

Mohammad Hadi Noori Skandari, Hamid Reza Erfanian, Ali Vahidian Kamyad

Intelligent Control and Automation Vol.2 No.2, June 3, 2011

DOI: 10.4236/ica.2011.22014 6,146 Downloads 10,262 Views Citations
Modified Adomian Techniques Applied to Non-Linear Volterra Integral Equations (Articles)

Haifa H. Ali, Fawzi Abdelwahid

Open Journal of Applied Sciences Vol.3 No.2, June 20, 2013

DOI: 10.4236/ojapps.2013.32027 4,446 Downloads 7,258 Views Citations

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