On the existence, uniqueness, and new analytic approximate solution of the modified error function in two‐phase Stefan problems
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DOI: 10.1002/mma.7457
Abstract: This paper provides a new proof of the existence and uniqueness of the solution for a nonlinear boundary value problem (1+δy)y′′+2x(1+γy)y′=0,0 read more here.
Keywords: existence uniqueness; approximate solution; uniqueness new; new analytic ... See more keywords
New analytic solutions of the fractional Vakhnenko–Parkes equation
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DOI: 10.1007/s11082-017-1194-1
Abstract: In the present paper, new analytical solutions for the fractional Vakhnenko–Parkes (VP) equation in the sense of the conformable derivative are obtained using the \(\exp (-\phi (\xi ))\) expansion method. The obtained traveling wave solutions… read more here.
Keywords: vakhnenko parkes; new analytic; solutions fractional; parkes equation ... See more keywords
New analytic buckling solutions of rectangular thin plates with all edges free
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DOI: 10.1016/j.ijmecsci.2018.05.041
Abstract: Abstract This paper deals with the representative challenging buckling problem of a fully free plate under biaxial compression by a distinctive symplectic superposition method, which yields the benchmark analytic solutions by converting the problem to… read more here.
Keywords: new analytic; buckling; analytic buckling; rectangular thin ... See more keywords