ONE-STEP EXTRAPOLATION METHOD USING CHEBYSHEV’S RECURRENCE RELATION APPLIED TO SEISMIC MODELING

ABSTRACT . In this work we show that the solution of the first order differential wave equation for an analytical wavefield, using a finite-difference scheme in time, follows exactly the same recursion of modified Chebyshev polynomials. Based on this, we proposed a numerical... Keywords: seismic modeling, acoustic wave equation, analytical wavefield, Chebyshev polinomials. RESUMO . Neste trabalho, mostra-se que a solucao da equacao de onda de primeira ordem com um campo de onda analitico usando um esquema de diferencas finitas no tempo segue exatamente a relacao de recorrencia dos polinomios modificados de Chebyshev. O algoritmo... Palavras-chave: modelagem sismica, equacao da onda acustica, campo analitico, polinomios de Chebyshev.