Identifying inverse source for fractional diffusion equation with Riemann–Liouville derivative

NH Tuan, Y Zhou, LD Long, NH Can - Computational and Applied …, 2020 - Springer
In this work, we study an inverse problem to determine an unknown source term for
fractional diffusion equation with Riemann–Liouville derivative. In general, the problem is …

Reconstruction of a time‐dependent coefficient in nonlinear Klein–Gordon equation using Bernstein spectral method

K Rashedi - Mathematical Methods in the Applied Sciences, 2023 - Wiley Online Library
In this work, we present a spectral method for recovering an unknown time‐dependent lower‐
order coefficient and unknown wave displacement in a nonlinear Klein–Gordon equation …

Identifying an unknown source term in a time-space fractional parabolic equation

N Van Thang, N Van Duc, LDN Minh… - Applied Numerical …, 2021 - Elsevier
An inverse problem of identifying an unknown space-dependent source term in a time-space
fractional parabolic equation is considered in this paper. Under reasonable boundedness …

[PDF][PDF] Ritz method and Genocchi polynomials for solution of fractional partial differential equations

MA Firoozjaee - Progress in Fractional Differentiation and …, 2021 - naturalspublishing.com
In this article, Ritz approximation based on Genocchi polynomials has been used to get
numerical solutions large category of FPDEs (fractional partial differential equations). In this …