[PDF][PDF] Legendre Galerkin method for solving fractional integro-differential equations of Fredholm type

OA Uwaheren, AF Adebisi, OT Olotu… - The Aligarh Bulletin of …, 2021 - researchgate.net
This paper deals with the solution of Fractional Integro-differential E-quations of Fredholm
type using Legendre Galerkin Method. The concept of Legendre Galerkin Method was …

Hybrid Legendre Block-Pulse functions for the numerical solutions of system of nonlinear Fredholm–Hammerstein integral equations

PK Sahu, SS Ray - Applied Mathematics and Computation, 2015 - Elsevier
In this paper, the numerical technique based on hybrid Legendre-Block-Pulse function has
been developed to approximate the solution of system of nonlinear Fredholm–Hammerstein …

Perturbed collocation method for solving singular multi-order fractional differential equations of Lane-Emden type

OA Uwaheren, AF Adebisi… - Journal of the Nigerian …, 2020 - journal.nsps.org.ng
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 …

An efficient wavelet based spectral method to singular boundary value problems

R Rajaraman, G Hariharan - Journal of Mathematical Chemistry, 2015 - Springer
In this paper, we have established an efficient wavelet based approximation method to
nonlinear singular boundary value problems. To the best of our knowledge, until now there …

Chebyshev Galerkin method for integro-differential equations of the second kind

J Biazar, F Salehi - Iranian Journal of Numerical Analysis and …, 2016 - ijnao.um.ac.ir
Chebyshev Galerkin method for integro-differential equations of the second kind Page 1 .
Iranian Journal of Numerical Analysis and Optimization Vol. 6, No. 1, (2016), pp 31-42 …

Wavelet-based analytical algorithm for solving steady-state concentration in immobilized glucose isomerase of packed-bed reactor model

MSM Selvi, G Hariharan - The Journal of membrane biology, 2016 - Springer
Wavelet method is a recently developed tool in applied mathematics. The mathematical
model of the steady-state immobilized enzyme electrodes is discussed. This theoretical …

An efficient wavelet based approximation method to steady state reaction–diffusion model arising in mathematical chemistry

M Mahalakshmi, G Hariharan - The Journal of Membrane Biology, 2014 - Springer
The mathematical model of Rahamathunissa and Rajendran (J Math Chem 44: 849–861,
2008) in an amperometric biosensor response is discussed. In this paper, we have applied …

[PDF][PDF] A numerical approach for solving first order integro-differential equations

OM Ogunlaran, MO Oke - 2013 - researchgate.net
A polynomial spline of degree n is made up of polynomial segments of degree n that are
connected in a way that guarantees the continuity of the function and of its derivatives up to …

[PDF][PDF] Numerical solution of nonlinear Fredholm Integro-differential equations using Chebyshev polynomials

A Maadadi, A Rahmoune - International Journal of Advanced …, 2018 - researchgate.net
The aim of this work is to present a numerical approximation based on Chebyshev
polynomials of the first kind to solve nonlinear Fredholm integro-differential equations. The …

Wavelet based spectral algorithm for nonlinear dynamical systems arising in ship dynamics

G Hariharan, R Rajaraman, D Sathiyaseelan - Ocean Engineering, 2016 - Elsevier
In this paper, we have applied an efficient shifted second kind Chebyshev wavelet method
(S2KCWM) to vibrating dynamical models arising in mechanical systems such as vibration of …