An effective QLM-based Legendre matrix algorithm to solve the coupled system of fractional-order Lane-Emden equations

M Izadi, D Baleanu - Applied Numerical Mathematics, 2024 - Elsevier
The purpose of this study is to propose a computationally effective algorithm for the
numerical evaluation of a fractional-order system of singular Lane-Emden type equations …

An efficient technique based on Green's function for solving two-point boundary value problems and its convergence analysis

S Tomar, S Dhama, H Ramos, M Singh - Mathematics and Computers in …, 2023 - Elsevier
This study proposes an accurate approximation to the solution of second-order nonlinear
two-point boundary value problems, including the well-known Bratu problem, using an …

Convergence analysis of an iterative scheme to solve a family of functional Volterra integral equations

F Zare, M Heydari, GB Loghmani - Applied Mathematics and Computation, 2024 - Elsevier
In the current study, an efficient iterative scheme which is based on the two powerful tools
called the quasilinearization method and the Jacobi-Galerkin method is proposed to solve a …

Inclined magnetic field, thermal radiation and Hall current effects on natural convection flow between vertical parallel plates

K Kaladhar, KM Reddy… - International Journal of …, 2021 - inderscienceonline.com
This paper investigates the impact of thermal radiation and an inclined magnetic field on free
convection flow through a vertical channel. In addition to this Hall current effect has been …

A multiple variational iteration method for nonlinear two-point boundary value problems with nonlinear conditions

A Ghorbani, AM Wazwaz - International Journal of Computational …, 2021 - World Scientific
A multiple variational iteration method (VIM) is proposed to effectively solve the second-
order nonlinear two-point boundary value problems. For problems where convergence …

A Novel Method for Solving Nonlinear Volterra Integro‐Differential Equation Systems

M Hossein Daliri Birjandi… - Abstract and Applied …, 2018 - Wiley Online Library
An efficient iteration method is introduced and used for solving a type of system of nonlinear
Volterra integro‐differential equations. The scheme is based on a combination of the …

An Effective Scheme for Solving a Class of Second-Order Two-Point Boundary Value Problems

S Tomar, S Dhama, K Vajravelu - International Conference on …, 2022 - Springer
A piecewise Adomian decomposition approach is presented in this work to handle a class of
nonlinear two-point boundary value problems effectively. The suggested technique enables …

Influence of Navier-slip conditions on natural convection flow through an inclined channel with inclined magnetic field, Soret and Hall current effects

K Kaladhar, KM Reddy… - International Journal of …, 2021 - inderscienceonline.com
This research is to examine the laminar, incompressible fluid with an inclined magnetic field
on free convective Navier-slip flow through an inclined channel. In addition, the Hall current …

[PDF][PDF] Research Article A Novel Method for Solving Nonlinear Volterra Integro-Differential Equation Systems

MHD Birjandi, J Saberi-Nadjafi, A Ghorbani - 2018 - academia.edu
An efficient iteration method is introduced and used for solving a type of system of nonlinear
Volterra integro-differential equations. The scheme is based on a combination of the spectral …