Numerical analysis of Volterra integro-differential equations with Caputo fractional derivative

S Santra, J Mohapatra - Iranian Journal of Science and Technology …, 2021 - Springer
This article deals with a fully discretized numerical scheme for solving fractional order
Volterra integro-differential equations involving Caputo fractional derivative. Such problem …

Legendre computational algorithm for linear integro-differential equations

T Oyedepo, A Ayoade, G Ajileye… - Cumhuriyet Science …, 2023 - csj.cumhuriyet.edu.tr
This work presents a collocation computational algorithm for solving linear Integro-
Differential Equations (IDEs) of the Fredholm and Volterra types. The proposed method …

[PDF][PDF] Some results on the projective cone normed tensor product spaces over Banach algebras

D Das, N Goswami, VN Mishra - Bol. Soc. Parana. Mat, 2020 - pdfs.semanticscholar.org
Dipankar Das, Nilakshi Goswami and Vishnu Narayan Mishra1 abstract: For two real
Banach algebras A1 and A2, let Kp be the projective cone in A1⊗ γ A2. Using this we define …

[PDF][PDF] Numerical simulation of twisted tapes fitted in circular tube consisting of alternate axes and regularly spaced tapes

MR Esbo, Y Vazifeshenas, AK Asboei… - Acta Scientiarum …, 2018 - redalyc.org
A comparative investigation of enhanced heat transfer and friction factor by insertion of
twisted tapes consisting of alternate axes and regularly spaced tapes in a round tube under …

Toeplitz matrix and Nyström method for solving linear fractional integro-differential equation

S Raad, K Alqurashi - European Journal of Pure and Applied …, 2022 - ejpam.com
In this paper, the Volterra-Fredholm integral equation is derived from a linear integro-
differential equation with a fractional order 0< α< 1 using Riemann–Liouville fractional …

A Reliable Treatment for Nonlinear Differential Equations

HR Marasi, M Sedighi, H Aydi… - Journal of …, 2021 - Wiley Online Library
In this paper, we use the concept of homotopy, Laplace transform, and He's polynomials, to
propose the auxiliary Laplace homotopy parameter method (ALHPM). We construct a …

Symplectic radial basis approximation of multi-variate hamiltonian pdes

S Zhang - Iranian Journal of Science and Technology …, 2019 - Springer
A meshless symplectic algorithm for multi-dimensional linear Hamiltonian partial differential
equations with radial basis interpolation has been suggested when the solving domain is R …

[PDF][PDF] Research Article A Reliable Treatment for Nonlinear Differential Equations

HR Marasi, M Sedighi, H Aydi, YU Gaba - 2021 - academia.edu
In this paper, we use the concept of homotopy, Laplace transform, and He's polynomials, to
propose the auxiliary Laplace homotopy parameter method (ALHPM). We construct a …

On First-Order Conditions for Optimality of Nondifferentiable Semi-infinite Programming

A Sadeghieh - Iranian Journal of Science and Technology …, 2019 - Springer
The purpose of this paper is to give some new Karush–Kuhn–Tucker-type necessary
optimality conditions for nonsmooth semi-infinite problems. Moreover, we present some …

APPLICATION OF FIXED POINT THEOREM FOR UNIQUENESS AND STABILITY OF SOLUTIONS FOR A CLASS OF NONLINEAR INTEGRAL EQUATIONS

A Gupta, JK MAITRA, V Rai - Journal of applied mathematics & …, 2018 - dbpia.co.kr
In this paper, we prove the existence, uniqueness and stability of solution for some nonlinear
functional-integral equations by using generalized coupled Lipschitz condition. We prove a …