Full discretization to an hyperbolic equation with nonlocal coefficient

نویسندگان

چکیده

We present full discretization of the telegraph equation with nonlocal coeffecient using Rothe-nite element method. For solving numerically we use Newton Raphson method, but term causes diffeculties because Jacobien matrix is full. To remedy these apply technique used by Sudhakar [4]. The optimal a priori error estimates for both semi discrete and fully schemes are derived in V H1 numerical experiment described to support our theoretical result.

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ژورنال

عنوان ژورنال: Boletim da Sociedade Paranaense de Matemática

سال: 2022

ISSN: ['0037-8712', '2175-1188']

DOI: https://doi.org/10.5269/bspm.46032