An Efficient Zero-Stable Numerical Method for Fourth-Order Differential Equations

Table 1

Comparison of errors in Kayode [3] and new method (2.6) for Problem 1.

𝑌	𝑋-exact	𝑌-computed with new method (2.6)	Errors in Kayode [3]	Errors in new method (2.6)
0.103125	0.13007993D-02	0.13007993D-02	0.49873300D-15	0.48355417D-16
0.206250	0.25317732D-02	0.25317732D-02	0.67654216D-15	0.13933299D-15
0.306250	0.36524788D-02	0.36524783D-02	0.31350790D-14	0.66893539D-15
0.406250	0.46959523D-02	0.46959523D-02	0.94360283D-14	0.20129384D-14
0.506250	0.56576413D-02	0.56576413D-02	0.22116857D-13	0.46736053D-14
0.603125	0.65077534D-02	0.65077534D-02	0.43379363D-13	0.91874598D-14
0.703125	0.72983134D-02	0.72983134D-02	0.77870869D-13	0.16069038D-13
0.803125	0.79985187D-02	0.79985187D-02	0.12863495D-12	0.25407974D-13
0.903125	0.86072451D-02	0.86072451D-02	0.19927116D-12	0.38108926D-13
1.003125	0.91242822D-02	0.91242822D-02	0.29323245D-12	0.54051538D-13