Perturbed Collocation Method For Solving Singular Multi-order Fractional Differential Equations of Lane-Emden Type
Keywords:
Perturbed Colocation Method, Legendre polynomial, Singular multi-order differential equations, Lane-Emden equationsAbstract
In this work, a general class of multi-order fractional differential equations of Lane-Emden type is considered. Here, an assumed approximate solution is substituted into a slightly perturbed form of the general class and the resulting equation is collocated at equally spaced interior points to give a system of linear algebraic equations which are then solved by suitable computer software; Maple 18.
Published
How to Cite
Issue
Section
How to Cite
Similar Articles
- K. Issa, A. S. Olorunnisola, O. T. Aliu, A. D. Adeshola , Approximate solution of space fractional order diffusion equations by Gegenbauer collocation and compact finite difference scheme: Solution of space fractional diffusion equation , Journal of the Nigerian Society of Physical Sciences: Volume 5, Issue 2, May 2023
- Friday Obarhua, Oluwasemire John Adegboro, An Order Four Continuous Numerical Method for Solving General Second Order Ordinary Differential Equations , Journal of the Nigerian Society of Physical Sciences: Volume 3, Issue 1, February 2021
- J. O. Kuboye, O. R. Elusakin, O. F. Quadri, Numerical Algorithms for Direct Solution of Fourth Order Ordinary Differential Equations , Journal of the Nigerian Society of Physical Sciences: Volume 2, Issue 4, November 2020
- Victor Oboni Atabo, Solomon Ortwer Adee, A New Special 15-Step Block Method for Solving General Fourth Order Ordinary Differential Equations , Journal of the Nigerian Society of Physical Sciences: Volume 3, Issue 4, November 2021
- Benitho Ngwu, Godwin C. E. Mbah, Chika O. Mmaduakor, Sunday Isienyi, Oghenekevwe R. Ajewole, Felix D. Ajibade, Characterisation of Singular Domains in Threshold-Dependent Biological Networks , Journal of the Nigerian Society of Physical Sciences: Volume 4, Issue 3, August 2022
- xiaojie zhou, Majid Khan Majahar Ali, Farah Aini Abdullah, Lili Wu, Ying Tian, Tao Li, Kaihui Li, Implementing a dung beetle optimization algorithm enhanced with multi-strategy fusion techniques , Journal of the Nigerian Society of Physical Sciences: Volume 7, Issue 2, May 2025
- Maduabuchi Gabriel Orakwelu, Olumuyiwa Otegbeye, Hermane Mambili-Mamboundou, A class of single-step hybrid block methods with equally spaced points for general third-order ordinary differential equations , Journal of the Nigerian Society of Physical Sciences: Volume 5, Issue 4, November 2023
- M. Basim, N. Senu, A. Ahmadian, Z. B. Ibrahim, S. Salahshour, Solving fractional variable-order differential equations of the non-singular derivative using Jacobi operational matrix , Journal of the Nigerian Society of Physical Sciences: Volume 5, Issue 2, May 2023
- Mark I. Modebei, Olumide O. Olaiya, Ignatius P. Ngwongwo, Computational study of a 3-step hybrid integrators for third order ordinary differential equations with shift of three off-step points , Journal of the Nigerian Society of Physical Sciences: Volume 3, Issue 4, November 2021
- B. I. Akinnukawe, K. O. Muka, L-Stable Block Hybrid Numerical Algorithm for First-Order Ordinary Differential Equations , Journal of the Nigerian Society of Physical Sciences: Volume 2, Issue 3, August 2020
You may also start an advanced similarity search for this article.
Most read articles by the same author(s)
- M. O. Ogunniran, O. A. Tayo, Y. Haruna, A. F. Adebisi, Linear Stability Analysis of Runge-Kutta Methods for Singular Lane-Emden Equations , Journal of the Nigerian Society of Physical Sciences: Volume 2, Issue 3, August 2020

