SPECTRAL METHOD FOR SEMILINEAR PARABOLIC INTEGRODIFFERENTIAL EQUATIONS

Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (2): 187-194.

• Articles • Previous Articles Next Articles

SPECTRAL METHOD FOR SEMILINEAR PARABOLIC INTEGRODIFFERENTIAL EQUATIONS

Liu Xiao-qing, Wu Sheng-chang

Institute of Applied Mathematics, Academia Sinica, Beijing

Received:1994-02-07 Online:1995-02-18 Published:1995-02-18

Abstract

Abstract: Based on the discussion of the semi discretization of a parabolic equation with a semilinear memory term,an error estimate is derived for the fully discrete scheme with spectral method in space and the backward Euler method in time The trapezoidal rule is adopted.for the quadrature of the memory term and the quadrature error isestimated.

Key words: Maxwell fluid, oscillating rectangular duct, velocity field, parabolic integro differential equation, spectral method, back-ward Euler method

Liu Xiao-qing;Wu Sheng-chang. SPECTRAL METHOD FOR SEMILINEAR PARABOLIC INTEGRODIFFERENTIAL EQUATIONS. Applied Mathematics and Mechanics (English Edition), 1995, 16(2): 187-194.

TrendMD

[1]	T. MUSHTAQ, A. RAUF, S. A. SHEHZAD, F. MUSTAFA, M. HANIF, Z. ABBAS. Numerical and statistical approach for Casson-Maxwell nanofluid flow with Cattaneo-Christov theory [J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(7): 1063-1076.
[2]	N. A. ZAINAL, R. NAZAR, K. NAGANTHRAN, I. POP. Unsteady flow of a Maxwell hybrid nanofluid past a stretching/shrinking surface with thermal radiation effect [J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(10): 1511-1524.
[3]	A. AHMED, M. KHAN, J. AHMED, A. HAFEEZ. Von Kármán rotating flow of Maxwell nanofluids featuring the Cattaneo-Christov theory with a Buongiorno model [J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(8): 1195-1208.
[4]	Zhonggui YI, Baozeng YUE, Mingle DENG. Chebyshev spectral variational integrator and applications [J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(5): 753-768.
[5]	M. KHAN, A. AHMED, J. AHMED. Boundary layer flow of Maxwell fluid due to torsional motion of cylinder: modeling and simulation [J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(4): 667-680.
[6]	G. C. SHIT, S. MUKHERJEE. MHD graphene-polydimethylsiloxane Maxwell nanofluid flow in a squeezing channel with thermal radiation effects [J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(9): 1269-1284.
[7]	Ying TAN, Weidong SU. A trigonometric series expansion method for the Orr-Sommerfeld equation [J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(6): 877-888.
[8]	Xuyang SUN, Shaowei WANG, Moli ZHAO, Qiangyong ZHANG. Numerical solution of oscillatory flow of Maxwell fluid in a rectangular straight duct [J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(11): 1647-1656.
[9]	Yongbo LIU, Yongjun JIAN. Electroviscous effect on electromagnetohydrodynamic flows of Maxwell fluids in parallel plate microchannels [J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(10): 1457-1470.
[10]	M. PERALTA, O. BAUTISTA, F. MÉNDEZ, E. BAUTISTA. Pulsatile electroosmotic flow of a Maxwell fluid in a parallel flat plate microchannel with asymmetric zeta potentials [J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(5): 667-684.
[11]	K. R. RAGHUNATHA, I. S. SHIVAKUMARA, B. M. SHANKAR. Weakly nonlinear stability analysis of triple diffusive convection in a Maxwell fluid saturated porous layer [J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(2): 153-168.
[12]	Xinsheng GE, Qijia YAO, Liqun CHEN. Control strategy of optimal deployment for spacecraft solar array system with initial state uncertainty [J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(10): 1437-1452.
[13]	Xinsheng GE, Zhonggui YI, Liqun CHEN. Optimal control of attitude for coupled-rigid-body spacecraft via Chebyshev-Gauss pseudospectral method [J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(9): 1257-1272.
[14]	Limei CAO, Xinhui SI, Liancun ZHENG. Convection of Maxwell fluid over stretching porous surface with heat source/sink in presence of nanoparticles: Lie group analysis [J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(4): 433-442.
[15]	Yaqing LIU, Boling GUO. Coupling model for unsteady MHD flow of generalized Maxwell fluid with radiation thermal transform [J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(2): 137-150.

SPECTRAL METHOD FOR SEMILINEAR PARABOLIC INTEGRODIFFERENTIAL EQUATIONS

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments