A Monotone Type Second-Order Numerical Method for Volterra–Fredholm Integro-Differential Equation

The aim of this study is to present a monotone type second-order numerical method for solving Volterra–Fredholm integro-differential equation. To solve numerically this problem we construct a finite difference scheme on a uniform mesh using composite trapezoidal rule. Also, numerical results are given to support the proposed approach.

Authors

Institutions

Publication Details

Journal
Computational Mathematics and Mathematical Physics
Published
2025-01-01
DOI
https://doi.org/10.1134/s0965542524701860
Primary Topic
Differential Equations and Numerical Methods
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

A Monotone Type Second-Order Numerical Method for Volterra–Fredholm Integro-Differential Equation

Gabil M. Amiraliyev, Burcu Fedakar, İlhame Amirali
Computational Mathematics and Mathematical Physics
Differential Equations and Numerical Methods
article

A Monotone Type Second-Order Numerical Method for Volterra–Fredholm Integro-Differential Equation

Gabil M. Amiraliyev, Burcu Fedakar, İlhame Amirali
article en

Abstract

The aim of this study is to present a monotone type second-order numerical method for solving Volterra–Fredholm integro-differential equation. To solve numerically this problem we construct a finite difference scheme on a uniform mesh using composite trapezoidal rule. Also, numerical results are given to support the proposed approach.

Computational Mathematics and Mathematical PhysicsVol. 65(1)
Memorial Sisli Hospital (TR), Düzce Üniversitesi (TR)
Openalex Percentile: Top 92%
Differential Equations and Numerical Methods
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.