A novel finite difference technique with error estimate for time fractional partial integro-differential equation of Volterra type
S Santra, J Mohapatra - Journal of Computational and Applied Mathematics, 2022 - Elsevier
The main purpose of this work is to study the numerical solution of a time fractional partial
integro-differential equation of Volterra type, where the time derivative is defined in Caputo …
integro-differential equation of Volterra type, where the time derivative is defined in Caputo …
Study of multi-dimensional problems arising in wave propagation using a hybrid scheme
J Liu, M Nadeem, MS Osman, Y Alsayaad - Scientific Reports, 2024 - nature.com
Many scientific phenomena are linked to wave problems. This paper presents an effective
and suitable technique for generating approximation solutions to multi-dimensional …
and suitable technique for generating approximation solutions to multi-dimensional …
New method for solving fractional partial integro-differential equations by combination of Laplace transform and resolvent kernel method
In this article, we obtained the approximate solution for a new class of Time-Fractional
Partial Integro-Differential Equation (TFPIDE) of the Caputo-Volterra type in which the …
Partial Integro-Differential Equation (TFPIDE) of the Caputo-Volterra type in which the …
[PDF][PDF] Solution of linear partial integro-differential equations using Kamal transform
AR Gupta, S Aggarwal, D Agrawal - International Journal of Latest …, 2018 - researchgate.net
Solution of Linear Partial Integro-Differential Equations using Kamal Transform Page 1
International Journal of Latest Technology in Engineering, Management & Applied Science (IJLTEMAS) …
International Journal of Latest Technology in Engineering, Management & Applied Science (IJLTEMAS) …
Solitary Wave Solutions of Nonlinear Integro‐Partial Differential Equations of (2+ 1)‐Dimensional and Its Models
DM Gusu, S Diro - International Journal of Differential Equations, 2022 - Wiley Online Library
The findings indicate an application of a new method of expansion of the forms (Z′/Z) and
(1/Z) to determine the solutions for wave of the solitary nature in the (2+ 1)‐dimensional …
(1/Z) to determine the solutions for wave of the solitary nature in the (2+ 1)‐dimensional …
[PDF][PDF] On optimal boundary and distributed control of partial integro-differential equations
AZ Khurshudyan - Archives of Control Sciences, 2014 - bibliotekanauki.pl
A method of optimal control problems investigation for linear partial integro-differential
equations of convolution type is proposed, when control process is carried out by boundary …
equations of convolution type is proposed, when control process is carried out by boundary …
[PDF][PDF] Solving partial integro-differential equations using double Laplace transform method
RR Dhunde, GL Waghmare - American Journal of Computational …, 2015 - researchgate.net
In this paper, we apply the double Laplace transform for solving linear partial integro-
differential equations (PIDE) with a convolution kernel. Double Laplace transform converts …
differential equations (PIDE) with a convolution kernel. Double Laplace transform converts …
UniFIDES: Universal Fractional Integro-Differential Equation Solvers
The development of data-driven approaches for solving differential equations has been
followed by a plethora of applications in science and engineering across a multitude of …
followed by a plethora of applications in science and engineering across a multitude of …
[PDF][PDF] Solution of partial integro-differential equations by double Elzaki transform method
MA MAHGOB - Mathematical Theory and Modeling, 2015 - Citeseer
Partial integro-differential equations (PIDE) occur naturally in various fields of science,
engineering and social sciences. The main purpose in this paper for solving partial integro …
engineering and social sciences. The main purpose in this paper for solving partial integro …
Generalized solution of a boundary value problem under point exposure of external forces
A Kerimbekov, EF Abdyldaeva… - International Journal of …, 2017 - elibrary.ru
In the paper, we study a problem of constructing the generalized solutions of the boundary
value problem with wave equation under point exposure of external forces, when the wave …
value problem with wave equation under point exposure of external forces, when the wave …