The decomposition method for linear, one-dimensional, time-dependent partial differential equations

@article{Lesnic2006TheDM,
  title={The decomposition method for linear, one-dimensional, time-dependent partial differential equations},
  author={D. Lesnic},
  journal={Int. J. Math. Math. Sci.},
  year={2006},
  volume={2006},
  pages={42389:1-42389:29}
}
  • D. Lesnic
  • Published 2006
  • Computer Science, Mathematics
  • Int. J. Math. Math. Sci.
The analytical solutions for linear, one-dimensional, time-dependent partial differential equations subject to initial or lateral boundary conditions are reviewed and obtained in the form of convergent Adomian decomposition power series with easily computable components. The efficiency and power of the technique are shown for wide classes of equations of mathematical physics. 
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References

SHOWING 1-10 OF 53 REFERENCES
A numerical comparison of partial solutions in the decomposition method for linear and nonlinear partial differential equations
  • 81
Solution of linear and nonlinear parabolic equations by the decomposition method
  • 26
An analytic study on the third-order dispersive partial differential equations
  • A. Wazwaz
  • Mathematics, Computer Science
  • Appl. Math. Comput.
  • 2003
  • 34
An explicit and numerical solutions of some fifth-order KdV equation by decomposition method
  • D. Kaya
  • Mathematics, Computer Science
  • Appl. Math. Comput.
  • 2003
  • 90
A new approach to nonlinear partial differential equations
  • 399
A Decomposition Method for Solving the Nonlinear Klein-Gordon Equation
  • 85
An application for linear and nonlinear heat equations by Adomian's decomposition method
  • S. Pamuk
  • Mathematics, Computer Science
  • Appl. Math. Comput.
  • 2005
  • 43
Exact solutions for heat-like and wave-like equations with variable coefficients
  • 120
A reliable technique for solving the wave equation in an infinite one-dimensional medium
  • A. Wazwaz
  • Mathematics, Computer Science
  • Appl. Math. Comput.
  • 1998
  • 53
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