عنوان
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FINITE DIFFERENCE METHOD FOR SOLVING THE SPACE–TIME FRACTIONAL WAVE EQUATION IN THE CAPUTO FORM
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نوع پژوهش
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مقاله چاپشده
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کلیدواژهها
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Fractional wave equation, Caputo fractional derivative, finite difference method, stability and convergence
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چکیده
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In this paper a space-time fractional wave equation on a finite domain is considered. The time and space fractional derivative are described in the Caputo sense. We propose a finite difference scheme to solve the space-time fractional wave equation. We discuss about stability and convergence of the method and prove that the finite difference scheme is unconditionally stable and convergent with (τ ^2+h), where τ and h are time and space steps respectively.
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پژوهشگران
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علی محمد نظری (نفر اول)
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