A novel finite difference technique with error estimate for time fractional partial integro-differential equation of Volterra type

2021 ◽  
pp. 113746
Author(s):  
S. Santra ◽  
J. Mohapatra
Keyword(s):  
Differential Equation ◽  
Finite Difference ◽  
Error Estimate ◽  
Volterra Type ◽  
Integro Differential Equation ◽  
Finite Difference Technique

scholarly journals A fractional integro-differential equation of volterra type

1998 ◽  
Vol 28 (10) ◽  
pp. 103-113 ◽  
Author(s):  
L. Boyadjiev ◽  
H.-J. Dobner ◽  
S.L. Kalla
Keyword(s):  
Differential Equation ◽  
Volterra Type ◽  
Integro Differential Equation

A predictor–corrector compact finite difference scheme for a nonlinear partial integro-differential equation

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Shufang Hu ◽  
Wenlin Qiu ◽  
Hongbin Chen
Keyword(s):  
Differential Equation ◽  
Finite Difference ◽  
Difference Scheme ◽  
Finite Difference Scheme ◽  
Compact Finite Difference Scheme ◽  
Compact Finite Difference ◽  
Integro Differential Equation ◽  
Compact Finite Difference Method ◽  
Backward Euler ◽  
Predictor Corrector

Abstract A predictor–corrector compact finite difference scheme is proposed for a nonlinear partial integro-differential equation. In our method, the time direction is approximated by backward Euler scheme and the Riemann–Liouville (R–L) fractional integral term is treated by means of first order convolution quadrature suggested by Lubich. Meanwhile, a two-step predictor–corrector (P–C) algorithm called MacCormack method is used. A fully discrete scheme is constructed with space discretization by compact finite difference method. Numerical experiment presents the scheme is in good agreement with the theoretical analysis.

Sign in / Sign up

Export Citation Format

Share Document