Reduced differential transform method for solving parabolic-like and hyperbolic-like equations

DOI10.1007/s40324-016-0101-1zbMath1386.35142OpenAlexW2562614072MaRDI QIDQ1689271

Nasir Taghizadeh, Seyyedeh Roodabeh Moosavi Noori

Publication date: 12 January 2018

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40324-016-0101-1

zbMATH Keywords

approximate solutionsexact solutionsreduced differential transform methodhyperbolic-like equationparabolic-like equation

Mathematics Subject Classification ID

Initial value problems for second-order parabolic equations (35K15) Solutions to PDEs in closed form (35C05) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

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Cites Work

• Beyond Adomian method: the variational iteration method for solving heat-like and wave-like equations with variable coefficients
• Exact solutions for heat-like and wave-like equations with variable coefficients.
• Approximate analytic solution of fractional heat-like and wave-like equations with variable coefficients using the differential transforms method
• Approximate symmetries in nonlinear viscoelastic media
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Lie Algebras of Approximate Symmetries
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