December 11, 2024 Thesis Open Access

WARKINA SEKA FUFA

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{
  "description": "<p>Advisor: Naol Tufa (PhD)</p>\n\n<p>Abstract</p>\n\n<p>This paper presents numerical solution of system of non-linear volterra integral equation of the second kind using predictor corrector method (P-CM) of fifth order. The two multistep method Adams-Bashforth and Adams-moulton method are applied. The convergence and stability of the method are proved. The numerical solutions are in a good agreement with exact solutions. Fifth order runge kutta method (RK5) for solving system of non-linear volterra integral equation of second kind is done for predictor corrector method. The two model examples system of non-linear volterra integral equations are given to demonstrate reliability and efficiency of the methods. The numerical results have been tabulated for different mesh size and presented in the graph.</p>\n\n<p>Key words: System of non-linear volterra integral equation, Predictor &ndash;corrector method, Stability analysis</p>", 
  "license": "http://www.opendefinition.org/licenses/odc-by", 
  "creator": [
    {
      "@type": "Person", 
      "name": "WARKINA SEKA FUFA"
    }
  ], 
  "headline": "NUMERICAL SOLUTION OF SYSTEM OF NONLINEAR  VOLTERRA INTEGRAL EQUATION OF SECOND KIND USING  PREDICTOR CORRECTOR METHOD OF FIFTH ORDER", 
  "image": "https://zenodo.org/static/img/logos/zenodo-gradient-round.svg", 
  "datePublished": "2024-12-11", 
  "url": "https://nadre.ethernet.edu.et/record/16112", 
  "@context": "https://schema.org/", 
  "identifier": "https://doi.org/10.20372/nadre:16112", 
  "@id": "https://doi.org/10.20372/nadre:16112", 
  "@type": "ScholarlyArticle", 
  "name": "NUMERICAL SOLUTION OF SYSTEM OF NONLINEAR  VOLTERRA INTEGRAL EQUATION OF SECOND KIND USING  PREDICTOR CORRECTOR METHOD OF FIFTH ORDER"
}