Stability of Difference Scheme for a Semilinear Differential Algebraic System of Index (k, 0)


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Abstract

We consider a semilinear differential-algebraic system of partial differential equations of index (k, 0). We numerically solve this system by applying the spline-collocation method based on splitting the matrix pencil. The method has high accuracy coinciding with the smallest order of the approximating spline.

About the authors

S. V. Svinina

Matrosov Institute for System Dynamics and Control Theory SB RAS 134

Email: Jade.Santos@springer.com
Russian Federation, Lermontov St, Irkutsk, 664033

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