Half-Sweep Geometric Mean Iterative Method for the Repeated Simpson Solution of Second Kind Linear Fredholm Integral Equations

• Muthuvalu, Mohana Sundaram ^[1] ; Sullaiman, Jumat ^[1]
  1. [1] Universiti of Malaysia Sabah

     Universiti of Malaysia Sabah

     Malasia

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 31, Nº. 1, 2012, págs. 65-79
• Idioma: inglés
• DOI: 10.4067/S0716-09172012000100007
• Enlaces
  • Texto completo
• Resumen

  • In previous studies, the effectiveness of the Half-Sweep Geometric Mean (HSGM) iterative method has been shown in solving first and second kind linear Fredholm integral equations using repeated trape­zoidal (RT) discretization scheme. In this work, we investigate the efficiency of the HSGM method to solve dense linear system gener­ated from the discretization of the second kind linear Fredholm in­tegral equations by using repeated Simpson's 1/3(RS1) scheme. The formulation and implementation ofthe proposed method are also pre­sented. In addition, several numerical simulations and computational complexity analysis were also included to verify the efficiency of the proposed method.

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