Abstract
In this paper, a piecewise uniform mesh is constructed and used, in conjuction with Backward Euler method to form a new numerical method for solving a coupled first order stiff system of Ordinary Differential Equations(ODEs) with prescribed initial conditions. It is proved that the numerical approximations generated by this method with piecewise uniform mesh produce numerical solutions with less computational effort and less error as compared to the method without piecewise uniform mesh. Numerical results are presented in support of the theory. Mathematics Subject Classification: 65L04, 65L05, 65L50, 65L15, 34A09, 34A30
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
