A localized meshless technique for solving 2D nonlinear integro-differential equation with multi-term kernels
Y Cao, O Nikan, Z Avazzadeh - Applied Numerical Mathematics, 2023 - Elsevier
This paper studies an accurate localized meshless collocation approach for solving two-
dimensional nonlinear integro-differential equation (2D-NIDE) with multi-term kernels. The …
dimensional nonlinear integro-differential equation (2D-NIDE) with multi-term kernels. The …
A robust error analysis of the OSC method for a multi-term fourth-order sub-diffusion equation
In this paper, we consider an orthogonal spline collocation (OSC) method to solve the fourth-
order multi-term subdiffusion equation. The L1 method on graded meshes is employed in …
order multi-term subdiffusion equation. The L1 method on graded meshes is employed in …
[HTML][HTML] On existence and numerical solution of higher order nonlinear integro-differential equations involving variable coefficients
We investigate the approximate solution to a class of fourth-order Volterra–Fredholm integro
differential equations (VFIDEs). Additionally, we are able to get some adequate results for …
differential equations (VFIDEs). Additionally, we are able to get some adequate results for …
Optimal error estimate of an accurate second-order scheme for Volterra integrodifferential equations with tempered multi-term kernels
W Qiu - Advances in Computational Mathematics, 2023 - Springer
In this paper, we investigate and analyze numerical solutions for the Volterra
integrodifferential equations with tempered multi-term kernels. Firstly, we derive some …
integrodifferential equations with tempered multi-term kernels. Firstly, we derive some …
On the applications of collocation method for numerically analyzing the nonlinear Degasperis–Procesi and Benjamin–Bona–Mahony equations
I Ahmad, S Ibrar Hussain, H Ilyas… - International Journal of …, 2024 - World Scientific
This research uses the Sinc Collocation method to numerically examine the Degasperis–
Procesi and Benjamin–Bona–Mahony equations, achieving a high level of precision and …
Procesi and Benjamin–Bona–Mahony equations, achieving a high level of precision and …
A formally second‐order backward differentiation formula Sinc‐collocation method for the Volterra integro‐differential equation with a weakly singular kernel based on …
This paper presents a formally second‐order backward differentiation formula (BDF2) Sinc‐
collocation method for solving the Volterra integro‐differential equation with a weakly …
collocation method for solving the Volterra integro‐differential equation with a weakly …
Crank-Nicolson ADI finite difference/compact difference schemes for the 3D tempered integrodifferential equation associated with Brownian motion
This paper proposes and analyzes a tempered fractional integrodifferential equation in three-
dimensional (3D) space. The Crank-Nicolson (CN) method and trapezoidal convolution …
dimensional (3D) space. The Crank-Nicolson (CN) method and trapezoidal convolution …
Numerical solutions of Schrödinger wave equation and Transport equation through Sinc collocation method
This study carries the novel applications of the Sinc collocation method to investigate the
numerical computing paradigm of Schrödinger wave equation and Transport equation as a …
numerical computing paradigm of Schrödinger wave equation and Transport equation as a …
[HTML][HTML] On the solution of Zabolotskaya–Khokhlov and Diffusion of Oxygen equations using a sinc collocation method
Recent progress seems to suggest that the use of Sinc collocation method for the numerical
treatment of partial differential equations, as a great level of precision and accuracy has …
treatment of partial differential equations, as a great level of precision and accuracy has …
Existence, uniqueness and stability of solutions for generalized proportional fractional hybrid integro-differential equations with Dirichlet boundary conditions
In this work, the existence of solutions for nonlinear hybrid fractional integro-differential
equations involving generalized proportional fractional (GPF) derivative of Caputo-Liouville …
equations involving generalized proportional fractional (GPF) derivative of Caputo-Liouville …