Pouzet–Runge–Kutta–Chebyshev method for Volterra integral equations of the second kind

• Limei Zhang ^[1] ; Fuming Ma ^[1]
  1. [1] Jilin University

     Jilin University

     China

     
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 288, Nº 1 (November 2015), 2015, págs. 323-331
• Idioma: inglés
• DOI: 10.1016/j.cam.2015.04.039
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• Resumen

  • We construct a stabilized Runge–Kutta method of Pouzet type (Pouzet–Runge–Kutta–Chebyshev method, PRKC) for nonlinear stiff Volterra integral equations of the second kind. The PRKC method is an explicit second-order scheme which possesses extended stability region due to the first kind Chebyshev polynomial used to establish the stability function.