Stability of piecewise polynomial collocation for Volterra integro‐differential equationsFootnote¹
Research supported by the Estonian Science Foundation Grant No. 3926.

P. Oja Department of Applied Mathematics, University of Tartu, Liivi 2, Tartu, 50409, Estonia E-mail: [email protected]

M. Tarang Department of Applied Mathematics, University of Tartu, Liivi 2, Tartu, 50409, Estonia E-mail: [email protected]

Abstract

Numerical stability of the spline collocation method by piecewise polynomials for Volterra integro‐differential equations is investigated. Stability conditions depending on collocation parameters and also on parameters of certain test equation are obtained. Results of several numerical tests are presented supporting theoretical results.

Voltero tipo integro‐diferencialine lygtis sprendžiama kolokaciju metodu. Ištirtas metodo stabilumas, kai naudojami trūkūs splainai. Parodyta, kad stabilumas priklauso nuo kolo‐kaciniu parametru ir nuo vienos testines lygties parametru. Pateikiami skaičiavimo eksperimento rezultatai, kurie patvirtina visus teorinius teiginius.

Notes

Research supported by the Estonian Science Foundation Grant No. 3926.

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Stability of piecewise polynomial collocation for Volterra integro‐differential equationsFootnote¹
Research supported by the Estonian Science Foundation Grant No. 3926.

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Stability of piecewise polynomial collocation for Volterra integro‐differential equationsFootnote1Research supported by the Estonian Science Foundation Grant No. 3926.

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Stability of piecewise polynomial collocation for Volterra integro‐differential equationsFootnote¹
Research supported by the Estonian Science Foundation Grant No. 3926.