Fractal quintic spline solutions for singularly perturbed reaction-diffusion boundary-value problems

被引:0
|
作者
Balasubramani, N. [1 ]
Prasad, M. Guru Prem [2 ]
Natesan, S. [2 ]
机构
[1] Natl Inst Technol Tiruchirappalli, Dept Math, Tiruchirappalli 620015, India
[2] Indian Inst Technol Guwahati, Dept Math, Gauhati 781039, India
关键词
Boundary-value problems; Fractal quintic spline; Convergence analysis;
D O I
10.1016/j.apnum.2024.04.015
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, with the help of fractal quintic spline, numerical solutions of singularly perturbed boundary value problem of ordinary differential equations are obtained. To check the accuracy of the proposed method, convergence analysis is derived. The developed method has fourth order convergence. To check the correctness of the proposed method, numerical examples are provided.
引用
收藏
页码:89 / 99
页数:11
相关论文
共 50 条
  • [21] Finite element analysis of the singularly perturbed parabolic reaction-diffusion problems with retarded argument
    Khari, Kartikay
    Kumar, Vivek
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2022, 38 (04) : 997 - 1014
  • [22] Overlapping domain decomposition method for singularly perturbed third order reaction-diffusion problems
    Roja, J. Christy
    Tamilselvan, A.
    AIN SHAMS ENGINEERING JOURNAL, 2018, 9 (04) : 2171 - 2181
  • [23] Error Control for Approximate Solutions of a Class of Singularly Perturbed Boundary Value Problems
    Repin, S. I.
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2022, 62 (11) : 1799 - 1816
  • [24] Computational Approach for Fourth-Order Self-Adjoint Singularly Perturbed Boundary Value Problems via Non-polynomial Quintic Spline
    Lodhi, Ram Kishun
    Mishra, Hradyesh Kumar
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2018, 42 (A2): : 887 - 894
  • [25] Computational Approach for Fourth-Order Self-Adjoint Singularly Perturbed Boundary Value Problems via Non-polynomial Quintic Spline
    Ram Kishun Lodhi
    Hradyesh Kumar Mishra
    Iranian Journal of Science and Technology, Transactions A: Science, 2018, 42 : 887 - 894
  • [26] The analytical solution of singularly perturbed boundary value problems
    Hosseini, S. Gh.
    Hosseini, S. M.
    Heydari, M.
    Amini, M.
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2014, 10 (01): : 7 - 22
  • [27] Numerical Solution of Third Order Singularly Perturbed Boundary Value Problems Using Exponential Quartic Spline
    Khan, Arshad
    Khandelwal, Pooja
    THAI JOURNAL OF MATHEMATICS, 2019, 17 (03): : 663 - 672
  • [28] AN EFFICIENT PARAMETER UNIFORM SPLINE-BASED TECHNIQUE FOR SINGULARLY PERTURBED WEAKLY COUPLED REACTION-DIFFUSION SYSTEMS
    Singh, Satpal
    Kumar, Devendra
    Ramos, Higinio
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2023, 13 (04): : 2203 - 2228
  • [29] The parameter uniform numerical method for singularly perturbed parabolic reaction-diffusion problems on equidistributed grids
    Gowrisankar, S.
    Natesan, Srinivasan
    APPLIED MATHEMATICS LETTERS, 2013, 26 (11) : 1053 - 1060
  • [30] A Novel Quintic B-Spline Technique for Numerical Solutions of the Fourth-Order Singular Singularly-Perturbed Problems
    Yousaf, Muhammad Zain
    Srivastava, Hari Mohan
    Abbas, Muhammad
    Nazir, Tahir
    Mohammed, Pshtiwan Othman
    Vivas-Cortez, Miguel
    Chorfi, Nejmeddine
    SYMMETRY-BASEL, 2023, 15 (10):