High Order Difference Schemes for Fractional Parabolic Equations

The book "High Order Difference Schemes for Fractional Parabolic Equations" offers a comprehensive investigation of numerical solutions for fractional parabolic differential equations. It presents a novel high-order approach to the Riemann-Liouville fractional derivative, based on the concept of the Crank-Nicolson method. The author, Serife Rabia Bayramoglu Erguner, develops high-order difference schemes that rely on this new approximation. Additionally, the stability of the proposed difference schemes is analyzed using three different stability methods. To support the theoretical claims regarding the convergence and stability of the methods, numerous numerical examples are presented. This specialized book is aimed at students and professionals in the fields of mathematics and natural sciences who are engaged with advanced numerical methods.