[HTML][HTML] A multi-dimensional Child–Langmuir law for any diode geometry

NR Sree Harsha, M Pearlman, J Browning… - Physics of …, 2021 - pubs.aip.org
While prior theoretical studies of multi-dimensional space-charge limited current (SCLC)
assumed emission from a small patch on infinite electrodes, none have considered emission …

[HTML][HTML] On analysis of the fuzzy fractional order Volterra-Fredholm integro-differential equation

N Ahmad, A Ullah, A Ullah, S Ahmad, K Shah… - Alexandria Engineering …, 2021 - Elsevier
In this paper, we study the fractional integro-differential equation under the notion of
fuzziness. We consider the fuzzy fractional Volterra-Fredholm integro-differential equation in …

Numerical solution of the second order linear and nonlinear integro-differential equations using Haar wavelet method

R Amin, I Mahariq, K Shah, M Awais… - Arab Journal of Basic …, 2021 - Taylor & Francis
In this paper, a numerical algorithm is developed for the solution of second order linear and
nonlinear integro-differential equations. The Haar collocation technique is applied to second …

[PDF][PDF] A short review on approximate analytical methods for non-linear problems

Y Tian, GQ Feng - Thermal Science, 2022 - thermalscience.vinca.rs
In this paper, some approximate analytical methods are reviewed, including the variational
iteration method and the homotopy perturbation method. Based on the ideas of the two …

[PDF][PDF] Detection sensitivity of a modified EWMA control chart with a time series model with fractionality and integration

P Phanthuna, Y Areepong - Emerg. Sci. J, 2022 - sci.rmutp.ac.th
Among the many statistical process control charts, the modified exponentially weighted
moving average (EWMA) control chart has been designed to swiftly detect a small shift in a …

Legendre–Galerkin method for the linear Fredholm integro-differential equations

M Fathy, M El-Gamel, MS El-Azab - Applied Mathematics and Computation, 2014 - Elsevier
This paper presents a study of the performance of the Galerkin method using Legendre
basis functions for solving linear Fredholm integro-differential problems. Convergence and …

Approximate solution of nonlinear Fredholm integral equations of the second kind using a class of Hermite interpolation polynomials

N Karamollahi, M Heydari, GB Loghmani - Mathematics and Computers in …, 2021 - Elsevier
A particular case of the Hermite interpolation method, namely the two-point Taylor formula, is
utilized to construct a numerical technique for solving Fredholm integral equations (FIEs) of …

[HTML][HTML] Numerical solution of Fredholm integral equations of the second kind by using integral mean value theorem II. High dimensional problems

M Heydari, Z Avazzadeh, H Navabpour… - Applied Mathematical …, 2013 - Elsevier
In this work, we generalize the numerical method discussed in [Z. Avazzadeh, M. Heydari,
GB Loghmani, Numerical solution of Fredholm integral equations of the second kind by …

An iterative Nyström-based method to solve nonlinear Fredholm integral equations of the second kind

S Torkaman, M Heydari - Applied Numerical Mathematics, 2023 - Elsevier
In the current paper, an iterative numerical scheme based upon the quasilinearization
technique and Nyström method to find the approximate solution of the nonlinear Fredholm …

[HTML][HTML] A numerical solution of Fredholm integral equations of the second kind based on tight framelets generated by the oblique extension principle

M Mohammad - Symmetry, 2019 - mdpi.com
In this paper, we present a new computational method for solving linear Fredholm integral
equations of the second kind, which is based on the use of B-spline quasi-affine tight …