An Integral Collocation Approach Based on Legendre Polynomials for Solving Riccati, Logistic and Delay Differential Equations
Read full paper at: www.scirp.org/journal/PaperInformation.aspx?PaperID=48886#.VDcwLFfHRK0 Author(s) M. M. Khader , A. M. S. Mahdy , M. M. Shehata Affiliation(s) Department of Mathematics and Statistics, College of Science, Al-Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, KSA; Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt , Riyadh, KSA . Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt . Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt . ABSTRACT In this paper, we propose and analyze some schemes of the integral collocation formulation based on Legendre polynomials. We implement these formulae to solve numerically Riccati,...