Second Derivative Block Hybrid Methods for Solving Real Life Problems of Ordinary Differential Equations

Yakubu, D. G., Momoh, A. L., Kumleng, G. M., &Shokri, A. (2023). Two-step second- derivative block hybrid methods for the integration of initial value problems. Journal of the Nigerian Mathematical Society, 42(2), 67–95. Yakubu, D. G., Shokri, A., Kumleng, G. M., & Marian, D. (2022). Second derivative block hybrid methods for the numerical integration of differential systems. Fractal and Fractional, 6(7), 386-396. https://doi.org/10.3390/fractalfract6070386 Abdelrahim, R., Omar, Z. &Kuboye, J. O. (2016). New hybrid block method with three off-step points for solving first order ordinary differential equations. Am. J. Appl. Sci. 1(3); 3–6. Atkins, P., & de Paula, J. (2014). Physical chemistry (10th ed.). Oxford University Press. Fogler, H. S. (2016). Elements of chemical reaction engineering (5th ed.). Pearson Education. Finlayson, B. A. (2012). Introduction to chemical engineering computing. John Wiley & Sons. Fotta, A. U. &Alabi, T. J. (2015). Block method with one hybrid point for the solution of first order initial value problems of ordinary differential equations. Int. J. Pure Appl. Math. 103(3); 511–21. Ibrahim, R., Jator, S. N., &Alao, A. A. (2019). Second derivative block methods for solving stiff systems of ordinary differential equations. Journal of Computational and Applied Mathematics, 349, 254–269. Abhulimen, P. E., &Igbokwe, P. A. (2017). A class of block hybrid methods for solving stiff ordinary differential equations. International Journal of Mathematics and Computer Applications Research. 7(3), 15–24. Olatunji, P. O. (2019). Nested second derivative general linear methods. Science Research Annals. 10, 26-32. Yakubu, D. G., Aminu, M., &Aminu, A. (2017). The numerical integration of stiff systems using stable multistep multiderivative methods. Journal of Modern Methods in Numerical Mathematics. 8(1–2), 99–117. http://dx.doi.org/10.20454/jmmnm.2017.1319 Adewale, J., Olaide, A., Oziohu, O., Joshua, S., &Omuya, M. (2018). Proficiency of second derivative schemes for the numerical solution of stiff systems. American Journal of Computational Mathematics.8(1). 96–107. https://doi.org/10.4236/ajcm.2018.81008 Omagwu, S., Ndayawo, M. S., & Joseph, T. A. (2018). A-stable order eight second derivative linear multistep methods for solutions of stiff systems of ordinary differential equations. International Journal of Engineering and Mathematical Intelligence, 5(1-2), 1–9. Skwame, Y., Sunday, J., & Sabo, J. (2018). On the development of two-step implicit second derivative block methods for the solution of initial value problems of general second order ordinary differential equations. Journal of Scientific and Engineering Research, 5(3), 283–290. Tumba, P., John, S., &Hamadina, M. (2018). Uniformly order eight implicit second derivative method for solving second-order stiff ordinary differential equations ODEs. Academic Journal of Applied Mathematical Sciences. 4(5), 43–48. Skwame, Y., Sabo, J., Kyagya, T. Y., &Bakari, I. A. (2018). A class of two-step second derivative Adams Moulton method with two off-step points for solving second order stiff ordinary differential equations. International Journal of Scientific and Management Research, 1(1), 12–20. Bakari, A. I., Babuba, S., Tumba, P., &Danladi, A. (2020). Two-step hybrid block backward differentiation formulae for the solution of stiff ordinary differential equations. FUDMA Journal of Sciences, 4(1), 668–676. IJASMT E- ISSN 2489-009X , Skwame, Y., Sunday, J., &Kyagya, T. Y. (2019). An A-stable backward difference second order linear multistep method for solving stiff ordinary differential equations. International Journal of Multidisciplinary and Current Educational Research , 1(2), 1–11. Adoghe, L. O., Ukpebor, L. A., &Akhanolu, G. A. (2024). A new second derivative methods with hybrid predictors for solving stiff and nonstiff ordinary differential equations. FUDMA Journal of Sciences, 8(4), 193–198. https://doi.org/10.33003/fjs-2024-0804- 2405 Hayt, W. H., Kemmerly, J. E., & Durbin, S. M. (2012). Engineering circuit analysis (8th ed.). McGraw-Hill. Boylestad, R. L., &Nashelsky, L. (2013). Electronic devices and circuit theory (11th ed.). Pearson Education. Nilsson, J. W., & Riedel, S. A. (2015). Electric circuits (10th ed.). Pearson Education. Rawlings, J. B., Ekerdt, J. G., &Muske, K. R. (2012). Chemical reactor analysis and design fundamentals (2nd ed.). Nob Hill Publishing.