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Nonlinear Stability and Convergence of Two‐Step Runge‐Kutta Methods for Volterra Delay Integro‐Differential Equations

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  • Haiyan Yuan
  • Cheng Song

Abstract

This paper introduces the stability and convergence of two‐step Runge‐Kutta methods with compound quadrature formula for solving nonlinear Volterra delay integro‐differential equations. First, the definitions of (k, l)‐algebraically stable and asymptotically stable are introduced; then the asymptotical stability of a (k, l)‐algebraically stable two‐step Runge‐Kutta method with 0

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Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:679075
DOI: 10.1155/2013/679075
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