Orthogonal Collocation - Articles - Scientific Research Publishing

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 699 Downloads 3,356 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 1,006 Downloads 2,056 Views Citations
High Order Boundary Conditions Technique for the Computation of Global Homoclinic Bifurcation (Articles)

Panagiotis S. Douris, Michail P. Markakis

Journal of Applied Mathematics and Physics Vol.6 No.3, March 23, 2018

DOI: 10.4236/jamp.2018.63049 893 Downloads 1,907 Views Citations
This article belongs to the Special Issue on Numerical Simulation and Its Application
Computation of a Point-to-Point Homoclinic Orbit for a Semiconductor Laser Model (Articles)

Panagiotis S. Douris, Michail P. Markakis

Applied Mathematics Vol.9 No.11, November 20, 2018

DOI: 10.4236/am.2018.911082 849 Downloads 1,752 Views Citations
An Efficient Numerical Method and Parametric Study for Electrolyte Transport in the Renal Medulla (Articles)

Maryam Saadatmand, Mohammad J. Abdekhodaie, Mahmoud R. Pishvaie, Fathollah Farhadi

Journal of Biomedical Science and Engineering Vol.7 No.9, July 21, 2014

DOI: 10.4236/jbise.2014.79068 2,939 Downloads 4,251 Views Citations
Finite Element Orthogonal Collocation Approach for Time Fractional Telegraph Equation with Mamadu-Njoseh Polynomials (Articles)

Ebimene James Mamadu, Henrietta Ify Ojarikre, Edith Omamuyovwi Maduku

Journal of Applied Mathematics and Physics Vol.11 No.9, September 18, 2023

DOI: 10.4236/jamp.2023.119168 230 Downloads 975 Views Citations
Design of a Simulator for Enhanced Oil Recovery Process Using a Nigerian Reservoir as a Case Study (Articles)

Kamilu Folorunsho Oyedeko, Alfred Akpoveta Susu

Advances in Chemical Engineering and Science Vol.4 No.4, October 7, 2014

DOI: 10.4236/aces.2014.44047 3,598 Downloads 5,548 Views Citations
On Mutually Orthogonal Graph-Path Squares (Articles)

Ramadan El-Shanawany

Open Journal of Discrete Mathematics Vol.6 No.1, December 17, 2015

DOI: 10.4236/ojdm.2016.61002 4,243 Downloads 5,387 Views Citations
Error Estimation and Assessment of an Approximation in a Wavelet Collocation Method (Articles)

Marco Schuchmann, Michael Rasguljajew

American Journal of Computational Mathematics Vol.3 No.2, June 24, 2013

DOI: 10.4236/ajcm.2013.32019 5,079 Downloads 8,299 Views Citations
A Review of Wavelets Solution to Stochastic Heat Equation with Random Inputs (Articles)

Anthony Y. Aidoo, Matilda Wilson

Applied Mathematics Vol.6 No.14, December 23, 2015

DOI: 10.4236/am.2015.614196 3,580 Downloads 4,893 Views Citations
Two Very Accurate and Efficient Methods for Solving Time-Dependent Problems (Articles)

Mohamed El-Gamel, Waleed Adel, M. S. El-Azab

Applied Mathematics Vol.9 No.11, November 21, 2018

DOI: 10.4236/am.2018.911083 1,486 Downloads 2,439 Views Citations
Sinc-Collocation Method for Solving Linear and Nonlinear System of Second-Order Boundary Value Problems (Articles)

Mohamed El-Gamel

Applied Mathematics Vol.3 No.11, November 20, 2012

DOI: 10.4236/am.2012.311225 7,655 Downloads 12,550 Views Citations
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 3,859 Downloads 6,057 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 5,963 Downloads 9,800 Views Citations
Characteristics Collocation Method of Compressible Miscible Displacement with Dispersion (Articles)

Ning Ma, Xiaofei Lu

Journal of Applied Mathematics and Physics Vol.3 No.1, January 28, 2015

DOI: 10.4236/jamp.2015.31012 3,719 Downloads 4,680 Views Citations
Symmetric Hybrid Linear Multistep Method for General Third Order Differential Equations (Articles)

Friday Oghenerukevwe Obarhua, Sunday Jacob Kayode

Open Access Library Journal Vol.3 No.4, April 18, 2016

DOI: 10.4236/oalib.1102583 1,194 Downloads 3,407 Views Citations
An Eight Order Two-Step Taylor Series Algorithm for the Numerical Solutions of Initial Value Problems of Second Order Ordinary Differential Equations (Articles)

Ayodele Olakiitan Owolanke, Ohi Uwaheren, Friday Oghenerukevwe Obarhua

Open Access Library Journal Vol.4 No.6, June 19, 2017

DOI: 10.4236/oalib.1103486 2,023 Downloads 4,400 Views Citations
Hybrid Numerical Method with Block Extension for Direct Solution of Third Order Ordinary Differential Equations (Articles)

M. K. Duromola, A. L. Momoh

American Journal of Computational Mathematics Vol.9 No.2, June 12, 2019

DOI: 10.4236/ajcm.2019.92006 1,217 Downloads 3,141 Views Citations
A Robust and Effective Method for Solving Two-Point BVP in Modelling Viscoelastic Flows (Articles)

Mohamed El-Gamel, Ola Mohamed, Neveen El-Shamy

Applied Mathematics Vol.11 No.1, January 7, 2020

DOI: 10.4236/am.2020.111003 837 Downloads 2,032 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 1,323 Views Citations

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