December 11, 2024 Thesis Open Access

WARKINA SEKA FUFA

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{
  "DOI": "10.20372/nadre:16112", 
  "author": [
    {
      "family": "WARKINA SEKA FUFA"
    }
  ], 
  "issued": {
    "date-parts": [
      [
        2024, 
        12, 
        11
      ]
    ]
  }, 
  "abstract": "<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>", 
  "title": "NUMERICAL SOLUTION OF SYSTEM OF NONLINEAR  VOLTERRA INTEGRAL EQUATION OF SECOND KIND USING  PREDICTOR CORRECTOR METHOD OF FIFTH ORDER", 
  "type": "thesis", 
  "id": "16112"
}