On the existence, uniqueness, and new analytic approximate solution of the modified error function in two‐phase Stefan problems
Copyright policy )On the existence, uniqueness, and new analytic approximate solution of the modified error function in two‐phase Stefan problems
This paper provides a new proof of the existence and uniqueness of the solution for a nonlinear boundary value problem which describes the study of two‐phase Stefan problems on the semi‐infinite line [0, ∞). This result considerably extends the analysis of a recent work. A highly accurate analytic approximate solution of this problem is also provided via the Adomian decomposition method.
- Imam Muhammad ibn Saud Islamic University Saudi Arabia
- Islamic University Bangladesh
Nonlinear boundary value problems for ordinary differential equations, Parameter dependent boundary value problems for ordinary differential equations, boundary value problem, Free boundary problems for PDEs, Adomian decomposition method, modified error function, Stefan problem, existence and uniqueness theorem, approximate solution, Stefan problems, phase changes, etc.
Nonlinear boundary value problems for ordinary differential equations, Parameter dependent boundary value problems for ordinary differential equations, boundary value problem, Free boundary problems for PDEs, Adomian decomposition method, modified error function, Stefan problem, existence and uniqueness theorem, approximate solution, Stefan problems, phase changes, etc.
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