Abstract
We develop a new technique to mathematically analyze and numerically simulate the weak periodic solution to a class of semilinear periodic parabolic equations with discontinuous coefficients. We reformulate our problem into a minimization problem via a least-squares cost function. By using variational calculus theory, we establish the existence of an optimal solution and based on the Lagrangian method, we calculate the derivative of our cost function. To illustrate the validity and efficiency of our proposed method, we present some numerical examples with different periods of time and diverse choices of discontinuous coefficients.
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.
