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Volumn 83, Issue 1, 2006, Pages 123-129

Solution of a partial integro-differential equation arising from viscoelasticity

Author keywords

Finite difference schemes; Order of accuracy; Partial integro differential equation; Product numerical integration rule; Viscoelasticity

Indexed keywords

BOUNDARY CONDITIONS; FINITE DIFFERENCE METHOD; PROBLEM SOLVING; VISCOELASTICITY;

EID: 30844464816     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/00207160500069847     Document Type: Article
Times cited : (123)

References (22)
  • 2
    • 49549156305 scopus 로고
    • The modified equation approach to the stability and accuracy analysis of finite-difference methods
    • Warming, R.F. and Hyett, B.J., 1974, The modified equation approach to the stability and accuracy analysis of finite-difference methods. Journal of Computational Physics, 14, 159-179.
    • (1974) Journal of Computational Physics , vol.14 , pp. 159-179
    • Warming, R.F.1    Hyett, B.J.2
  • 5
    • 30844454725 scopus 로고
    • A difference scheme for a nonlinear partial integro-differential equation
    • Lopez-Marcos, J.C., 1968, A difference scheme for a nonlinear partial integro-differential equation. SIAM Journal of Numerical Analysis, 31, 113-126.
    • (1968) SIAM Journal of Numerical Analysis , vol.31 , pp. 113-126
    • Lopez-Marcos, J.C.1
  • 6
    • 0020191449 scopus 로고
    • Numerical solution of a nonlinear integro-differential equation
    • Neta, B., 1982, Numerical solution of a nonlinear integro-differential equation. Journal of Mathematical Analysis and Applications, 89, 598-611.
    • (1982) Journal of Mathematical Analysis and Applications , vol.89 , pp. 598-611
    • Neta, B.1
  • 7
    • 30844432463 scopus 로고
    • Finite differences versus finite elements for solving nonlinear integro-differential equations
    • Neta, B. and Igwe, J.O., 1985, Finite differences versus finite elements for solving nonlinear integro-differential equations. Journal of Mathematical Analysis and Applications, 112, 607-618.
    • (1985) Journal of Mathematical Analysis and Applications , vol.112 , pp. 607-618
    • Neta, B.1    Igwe, J.O.2
  • 8
    • 0001754759 scopus 로고
    • A numerical method for a partial integro-differential equation
    • Sanz-Serna, J.M., 1988, A numerical method for a partial integro-differential equation. SIAM Journal of Numerical Analysis, 25, 319-327.
    • (1988) SIAM Journal of Numerical Analysis , vol.25 , pp. 319-327
    • Sanz-Serna, J.M.1
  • 9
    • 0026880680 scopus 로고
    • Orthogonal spline collocation methods for some partial integro-differential equations
    • Yan, Y. and Fairweather, G., 1992, Orthogonal spline collocation methods for some partial integro-differential equations. SIAM Journal of Numerical Analysis, 29, 755-768.
    • (1992) SIAM Journal of Numerical Analysis , vol.29 , pp. 755-768
    • Yan, Y.1    Fairweather, G.2
  • 10
    • 0012661804 scopus 로고
    • Partial integro-differential equations with a weakly singular kernel
    • Tang, T., 1993, Partial integro-differential equations with a weakly singular kernel. Applied Numerical Mathematics, 11, 309-319.
    • (1993) Applied Numerical Mathematics , vol.11 , pp. 309-319
    • Tang, T.1
  • 12
    • 0003230865 scopus 로고
    • Analytical and numerical methods for Volterra equations
    • Philadelphia, PA: SIAM
    • Linz, P., 1985, Analytical and numerical methods for Volterra equations. SIAM Studies in Applied Mathematics (Philadelphia, PA: SIAM).
    • (1985) SIAM Studies in Applied Mathematics
    • Linz, P.1
  • 14
    • 11144275388 scopus 로고    scopus 로고
    • On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation
    • Dehghan, M., 2005, On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation. Numerical Methods, Partial Differential Equations, 21, 24-40.
    • (2005) Numerical Methods, Partial Differential Equations , vol.21 , pp. 24-40
    • Dehghan, M.1
  • 16
    • 0018031320 scopus 로고
    • An integro-differential equation for rigid heat conductors with memory
    • Miller, R.K., 1978, An integro-differential equation for rigid heat conductors with memory. Journal of Mathematical Analysis and Applications, 66, 313-332.
    • (1978) Journal of Mathematical Analysis and Applications , vol.66 , pp. 313-332
    • Miller, R.K.1
  • 18
    • 0010306531 scopus 로고
    • Mathematical analysis of viscoelastic flows
    • Renardy, M., 1989, Mathematical analysis of viscoelastic flows. Annual Review of Fluid Mechanics, 21, 21-36.
    • (1989) Annual Review of Fluid Mechanics , vol.21 , pp. 21-36
    • Renardy, M.1
  • 21
    • 84953600891 scopus 로고
    • A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type
    • Crank, J. and Nicolson, P., 1947, A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type. Proceedings of the Cambridge Philosophical Society, 43, 50-67.
    • (1947) Proceedings of the Cambridge Philosophical Society , vol.43 , pp. 50-67
    • Crank, J.1    Nicolson, P.2
  • 22
    • 0001218929 scopus 로고
    • An optimum implicit recurrence formulae for the heat conduction equation
    • Crandall, S.H., 1955, An optimum implicit recurrence formulae for the heat conduction equation. Quarterly of Applied Mathematics, 13, 318-320.
    • (1955) Quarterly of Applied Mathematics , vol.13 , pp. 318-320
    • Crandall, S.H.1


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