TY - JOUR
T1 - Inverse two-phase nonlinear Stefan and Cauchy-Stefan problems
T2 - A phase-wise approach[Formula presented]
AU - Nanda, P.
AU - Reddy, G. M.M.
AU - Vynnycky, M.
N1 - Publisher Copyright:
© 2022 The Author(s)
PY - 2022/10/1
Y1 - 2022/10/1
N2 - We develop a novel phase-wise sequential numerical approach based on the method of fundamental solutions (MFS) for inverse two-phase nonlinear Stefan and Cauchy-Stefan problems in one dimension (1D). By treating each phase independently, the inverse two-phase nonlinear Stefan problem splits into two single-phase inverse problems: an inverse nonlinear boundary identification problem and an inverse linear one-phase Stefan problem. Along with the reconstruction of boundary data, the simultaneous reconstruction of the boundary and initial data is also considered. Numerical investigations show the robustness and efficiency of the proposed method in reconstructing the data.
AB - We develop a novel phase-wise sequential numerical approach based on the method of fundamental solutions (MFS) for inverse two-phase nonlinear Stefan and Cauchy-Stefan problems in one dimension (1D). By treating each phase independently, the inverse two-phase nonlinear Stefan problem splits into two single-phase inverse problems: an inverse nonlinear boundary identification problem and an inverse linear one-phase Stefan problem. Along with the reconstruction of boundary data, the simultaneous reconstruction of the boundary and initial data is also considered. Numerical investigations show the robustness and efficiency of the proposed method in reconstructing the data.
KW - Boundary identification problem
KW - Inverse Stefan problem
KW - Two-phase
UR - http://www.scopus.com/inward/record.url?scp=85136511333&partnerID=8YFLogxK
U2 - 10.1016/j.camwa.2022.08.009
DO - 10.1016/j.camwa.2022.08.009
M3 - Article
AN - SCOPUS:85136511333
SN - 0898-1221
VL - 123
SP - 216
EP - 226
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
ER -