On a New Nonlinear Integro-Differential Fredholm-Chandrasekhar Equation

被引:0
|
作者
Khellaf, Ammar [1 ]
Benssaad, Meryem [2 ]
Lemita, Samir [3 ]
机构
[1] Natl Polytech Coll Constantine Algeria, Lab Math Appl & Modelisat LMAM, Preparatory Class Dept, El Khroub, Algeria
[2] Higher Normal Sch Technol Educ, Dept Math, Lab Math Appl & Modelisat LMAM, Skikda, Algeria
[3] Higher Normal Sch Technol Educ, Dept Math, Lab Math Appl & Modelisat LMAM, Ourgla, Algeria
来源
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2023年 / 41卷
关键词
Nonlinear Fredholm integral equation; integro-differential equation; Chandrasekhar integral equation; fixed point; Nystrom method;
D O I
10.5269/bspm.63023
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper presents an analytical and numerical study of a new integro-differential Fredholm-Chandrasekhar equation of the second type. We suggest the conditions that ensure the existence and uniqueness of the nonlinear problem's solution. Then, we create a numerical technique based on the Nystrom's method. The numerical application illustrates the efficiency of the proposed process.
引用
收藏
页数:9
相关论文
共 50 条
  • [1] On the new integro-differential nonlinear Volterra-Chandrasekhar equation
    Khellaf, Ammar
    Aissaoui, Mohamed-Zine
    ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL, 2022, : 203 - 214
  • [2] On a nonlinear integro-differential equation of Fredholm type
    Bounaya, Mohammed Charif
    Lemita, Samir
    Ghiat, Mourad
    Aissaoui, Mohamed Zine
    INTERNATIONAL JOURNAL OF COMPUTING SCIENCE AND MATHEMATICS, 2021, 13 (02) : 194 - 205
  • [3] ANALYSIS OF A NONLINEAR VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATION
    Aissaoui, M. Z.
    Bounaya, M. C.
    Guebbai, H.
    QUAESTIONES MATHEMATICAE, 2022, 45 (02) : 307 - 325
  • [4] Investigation Approach for a Nonlinear Singular Fredholm Integro-differential Equation
    Touati, Sami
    Aissaoui, Mohamed Zine
    Lemita, Samir
    Guebbai, Hamza
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2022, 40
  • [5] The approximate solution of nonlinear Fredholm implicit integro-differential equation in the complex plane
    Lemita, Samir
    Touati, Sami
    Derbal, Kheireddine
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2022, 15 (07)
  • [6] A Procedure for Constructing the Solution of a Nonlinear Fredholm Integro-Differential Equation of Second Order
    da Gama, Rogerio Martins Saldanha
    da Gama, Rogerio Pazetto Saldanha
    AXIOMS, 2022, 11 (12)
  • [7] New approximation method for Volterra nonlinear integro-differential equation
    Segni, Sami
    Ghiat, Mourad
    Guebbai, Hamza
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2019, 12 (01)
  • [8] Analytical and Numerical Approach for a Nonlinear Volterra-Fredholm Integro-differential Equation
    Bounaya, Mohammed Charif
    Lemita, Samir
    Touati, Sami
    Aissaoui, Mohamed Zine
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2023, 41
  • [9] AN INVERSE PROBLEM FOR A NONLINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATION OF FOURTH ORDER WITH DEGENERATE KERNEL
    Yuldashev, T. K.
    VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2015, 19 (04): : 736 - 749
  • [10] SOLVING LINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATION BY NYSTROM METHOD
    Tair, Boutheina
    Guebbai, Hamza
    Segni, Sami
    Ghiat, Mourad
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS, 2021, 20 (03) : 53 - 64