»ã±¨±êÌâ (Title)£ºHigh-Order Stable Computational Algorithm for Space-Time Fractional Stochastic Nonlinear Diffusion Wave Model (ʱ¿Õ·ÖÊý½×Ëæ»ú·ÇÏßÐÔÀ©É¢²¨Ä£Ð͵ĸ߽ײ»±äÍÆËãËã·¨)

»ã±¨ÈË (Speaker)£º Anant Pratap Singh ²©Ê¿£¨Indian Institute of Technology (Banaras Hindu University) ´óѧ£©

»ã±¨¹¦·ò (Time)£º2024Äê5ÔÂ21ÈÕ (Öܶþ) 15:00

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿GJ403

Ô¼ÇëÈË(Inviter)£ºÀƷ¡¢²ÌÃô

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»ã±¨ÌáÒª£ºIn the current work a numerical method is developed and examined for the space¨Ctime fractional stochastic nonlinear diffusion wave model. The implicit numerical scheme is designed by embedding the matrix transform approach for discretizing the Riesz-space fractional derivative, and via incorporating (3 ? ¦Á) order approximation to the Caputo-fractional derivative in the temporal direction. Further, Taylor's series method is utilized to linearize the nonlinear source term, and has been efficiently employed to compute the solution of a class of nonlinear fractional diffusion wave equation. We demonstrate that the implicit scheme converges with ¦Â-order in space and (3?¦Á) order in time. The theoretical investigation of the unconditional stability of the implicit scheme and the optimal error estimates in the temporal-spatial direction are conducted. Moreover, the consistency and high efficacy of the proposed numerical algorithms are further supported by several numerical tests, which shows that the designed numerical technique is easy to implement and in sync with the theoretical investigation.