Non-diminishing relative error of the predictor–corrector algorithm for certain fractional differential equations

摘要: Abstract The predictor–corrector (P–C) method applies linear interpolation technique to calculate Volterra integral equations equivalent the considered fractional differential (FDEs). This paper reveals that, relative error approaches a certain value but not infinitesimal even as step size decreases zero for FDEs. In these equations, integrated function has and an infinite (or infinitesimal) slope at origin. is responsible non-diminishing error. Based on this analysis, we modify P–C by employing alternative strategy reduce Numerical examples show modified can provide much more accurate approximations only near origin also over whole solution domain.