Approximate solutions of nonlinear two-dimensional Volterra integral equations

被引：4

作者：

Ahsan, Sumbal ^{[1
]}

Nawaz, Rashid ^{[1
]}

Akbar, Muhammad ^{[1
]}

Nisar, Kottakkaran Sooppy ^{[2
,3
]}

Baleanu, Dumitru ^{[4
,5
,6
]}

机构：

[1] Abdul Wali Khan Univ Mardan, Dept Math, Khyber Pakhtunkhwa, Pakistan

[2] Coll Arts & Sci, Dept Math, Wadi Aldawaser, Saudi Arabia

[3] Prince Sattam Bin Abdulaziz Univ, Alkharj, Saudi Arabia

[4] Cankaya Univ, Dept Math, Ankara, Turkey

[5] Inst Space Sci, Bucharest, Romania

[6] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 07期

关键词：

2D‐ VIEs; analytical solution; the Optimal Homotpy Asymptotic Method;

D O I：

10.1002/mma.7128

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present work is concerned with examining the Optimal Homotopy Asymptotic Method (OHAM) for linear and nonlinear two-dimensional Volterra integral equations (2D-VIEs). The result obtained by the suggested method for linear 2D-VIEs is compared with the differential transform method, Bernstein polynomial method, and piecewise block-plus method and result of the proposed method for nonlinear 2D-VIEs is compared with 2D differential transform method. The proposed method provides us with efficient and more accurate solutions compared to the other existing methods in the literature.

引用

页码：5548 / 5559

页数：12

共 50 条

[1] Two-Dimensional PCBFs : Application to Nonlinear Volterra Integral Equations
Maleknejad, K.
Sohrabi, S.
Baranji, B.
WORLD CONGRESS ON ENGINEERING 2009, VOLS I AND II, 2009, : 980 - +
[2] Two-dimensional Jacobi pseudospectral quadrature solutions of two-dimensional fractional Volterra integral equations
A. K. Mittal
Calcolo, 2023, 60
[3] Two-dimensional Jacobi pseudospectral quadrature solutions of two-dimensional fractional Volterra integral equations
Mittal, A. K.
CALCOLO, 2023, 60 (04)
[4] Two-dimensional Euler polynomials solutions of two-dimensional Volterra integral equations of fractional order
Wang, Yifei
Huang, Jin
Wen, Xiaoxia
APPLIED NUMERICAL MATHEMATICS, 2021, 163 (163) : 77 - 95
[5] APPROXIMATE SOLUTIONS FOR SOME NONLINEAR VOLTERRA INTEGRAL-EQUATIONS
NAKAGIRI, SI
MURAKAMI, H
PROCEEDINGS OF THE JAPAN ACADEMY, 1974, 50 (03): : 212 - 217
[6] Existence, uniqueness, and numerical solutions for two-dimensional nonlinear fractional Volterra and Fredholm integral equations in a Banach space
Maleknejad, Khosrow
Rashidinia, Jalil
Eftekhari, Tahereh
COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (04):
[7] Existence, uniqueness, and numerical solutions for two-dimensional nonlinear fractional Volterra and Fredholm integral equations in a Banach space
Khosrow Maleknejad
Jalil Rashidinia
Tahereh Eftekhari
Computational and Applied Mathematics, 2020, 39
[8] Approximate Solution of Two-dimensional Hammerstein-Volterra Fuzzy Integral Equations with Partial Integrals
Pavlova, Albena
Koleva, Radka
APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE20), 2021, 2333
[9] Adomian decomposition method for solving two-dimensional nonlinear Volterra fuzzy integral equations
Alidema, Artan
Georgieva, Atanaska
PROCEEDINGS OF THE 44TH INTERNATIONAL CONFERENCE "APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS", 2018, 2048
[10] Discretization methods and their extrapolations for two-dimensional nonlinear Volterra-Urysohn integral equations
Bazm, Sohrab
Lima, Pedro
Nemati, Somayeh
APPLIED NUMERICAL MATHEMATICS, 2025, 208 : 323 - 337

← 1 2 3 4 5 →