Abstract
A method is given for solving certain infinite-order differential equations whose characteristic function is an entire function of order less than 1. The infinite-order operator is expressed as an infinite product of first-order operators and is then inverted by a sequence of integral operators. The method is a natural generalization of a finite-order method and can be computed numerically. The method is shown to converge and an error estimate is given. Applications to solutions of some heat equation problems are indicated.
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.
