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An Efficient Decomposition Method for Solving Telegraph Equation Through Quadratic Legendre Multiwavelets

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In this paper, we present a new technique based on the quadratic Legendre multiwavelets decomposition for solving telegraph equation. The properties of quadratic Legendre multiwavelets are used to transform the… Click to show full abstract

In this paper, we present a new technique based on the quadratic Legendre multiwavelets decomposition for solving telegraph equation. The properties of quadratic Legendre multiwavelets are used to transform the telegraph equation into the solution of ODE’s system and the ODE’s system is converted into the system of algebraic equations. Illustrative examples are included to demonstrate the applicability and validity of the innovative method.

Keywords: efficient decomposition; quadratic legendre; telegraph equation; solving telegraph; legendre multiwavelets

Journal Title: International Journal of Applied and Computational Mathematics
Year Published: 2017

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