Computational techniques for solving mixed (1+ 1) dimensional integral equations with strongly symmetric singular kernel
SE Alhazmi, AMS Mahdy, MA Abdou, DS Mohamed - Symmetry, 2023 - mdpi.com
This paper describes an effective strategy based on Lerch polynomial method for solving
mixed integral equations (MIE) in position and time with a strongly symmetric singular kernel …
mixed integral equations (MIE) in position and time with a strongly symmetric singular kernel …
Qualitative analysis for solving a fractional integro-differential equation of hyperbolic type with numerical treatment using the Lerch matrix collocation method
RE Alsulaiman, MA Abdou, MM ElBorai… - Fractal and …, 2023 - mdpi.com
In this research, we present a qualitative analysis for studying a new modification of a
nonlinear hyperbolic fractional integro-differential equation (NHFIDEq) in dual Banach …
nonlinear hyperbolic fractional integro-differential equation (NHFIDEq) in dual Banach …
[PDF][PDF] Application of Lerch polynomials to approximate solution of singular Fredholm integral equations with Cauchy kernel
DS Mohamed - Appl. Math. Inf. Sci, 2022 - naturalspublishing.com
Integral equations play an important role in many branches of modern mathematics and
appear in various applications, including fluid mechanics, engineering, contact problems in …
appear in various applications, including fluid mechanics, engineering, contact problems in …
Numerical treatment for the solution of stochastic fractional differential equation using Lerch operational matrix method
PK Singh, S Saha Ray - Journal of Computational …, 2024 - asmedigitalcollection.asme.org
The article aims to propose the Lerch operational matrix method to solve a stochastic
fractional differential equation. In this approach, the Lerch polynomials have been used as a …
fractional differential equation. In this approach, the Lerch polynomials have been used as a …
A compatible Hermite–Taylor matrix-collocation technique with convergence test for second-order partial integro-differential equations containing two independent …
The aim of this study is to offer a compatible numerical technique to solve second-order
linear partial integro-differential equations with variable (functional) bounds, including two …
linear partial integro-differential equations with variable (functional) bounds, including two …
[PDF][PDF] The Local Nonpolynomial Splines and Solution of Integro-Differential Equations
IG BUROVA - wseas.com
The application of the local polynomial splines to the solution of integro-differential
equations was regarded in the author's previous papers. In a recent paper, we introduced …
equations was regarded in the author's previous papers. In a recent paper, we introduced …