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Abstract In this paper, a class of general linear methods is combined with a special quadrature rule inherited from natural Runge–Kutta methods for Volterra integral equations to design a more… Click to show full abstract
Abstract In this paper, a class of general linear methods is combined with a special quadrature rule inherited from natural Runge–Kutta methods for Volterra integral equations to design a more stable and efficient algorithm. The constructed methods of orders 1 , 2 , and 3 are A 0 –stable and the method of order 4 is A 0 ( α ) –stable. The capability of the proposed methods in solving stiff and nonstiff problems is shown by some numerical experiments.
Keywords:
quadrature;
difference quadrature;
quadrature scheme;
scheme volterra;
based difference;
glms based
Journal Title: Applied Numerical Mathematics
Year Published: 2021
Link to full text (if available)
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Journal Title: Applied Numerical Mathematics
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!