TY - JOUR AU - ISSA, K. AU - ADENIYI, R. B. AU - YISA, B. M. PY - 2017/07/15 Y2 - 2024/03/28 TI - GENERALIZED ERROR ESTIMATION OF THE TAU METHOD IN ORDINARY DIFFERENTIAL EQUATIONS JF - Journal of the Nigerian Mathematical Society JA - JNMS VL - 36 IS - 1 SE - Articles DO - UR - https://ojs.ictp.it/jnms/index.php/jnms/article/view/91 SP - 113 - 137 AB - The numerical method for solving Non-linear ODEs is reported here based on the generalized Tau approximant earlier derived. The error estimation of the Tau method for both linear and non-linear ODEs, overdetermined and nonoverdetermined type were also examined and generalized with the use of chebyshev polynomials as perturbation terms. Some numerical problems were solved to illustrate the effectiveness and simplicity of the generalized scheme. ER -