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Title
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APPLICATION OF GENERAL LAGRANGE SCALING FUNCTIONS FOR EVALUATING THE APPROXIMATE SOLUTION TIME-FRACTIONAL DIFFUSION-WAVE EQUATIONS
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Type
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Refereeing
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Keywords
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time-fractional diffusion-wave equation, general Riemann-Liouville pseudo-operational matrix, optimization method, general Lagrange scaling function
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Abstract
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This manuscript provides an efficient technique for solving time-fractional diffusion-wave equations uing general Lagrange scaling functions (GLSFs). In GLSFs, by selecting various nodes of Lagrange polynomials, we get various kinds of orthogonal or non-orthogonal Lagrange scaling functions. General Riemann-Liouville fractional integral operator (GRLFIO) of GLSFs is obtained generally. General Riemann-Liouville fractional integral operator of the general Lagrange scaling function is calculated exactly using the Hypergeometric functions. The operator extraction method is precisely calculated and this has a direct impact on the accuracy of our method. The operator and optimization method are implemented to convert the problem to a set of algebraic equations. Also, error analysis is discussed. To demonstrate the efficiency of the numerical scheme, some numerical examples are examined.
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Researchers
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Salameh Sedaghat (Referee)
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