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Title
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An efficient technique for solving state dependent delay differential equations
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Type
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Presentation
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Keywords
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Neutral delay differential equation, Bernoulli polynomials, Error analysis
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Abstract
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This work is devoted to introducing a new numerical method based on hybrid functions approximation for solving the neutral delay di erential equations. First, we present the main properties of hybrid functions consisting of the block pulse functions and Bernoulli polynomials. Then we utilize these properties to reduce the solution of neutral delay di erential equations to a set of algebraic equations by rst expanding the candidate function as hybrid functions with unknown coecients. We use the collocation method to obtain the coecients of the hybrid functions and discuss the error analysis. Finally, we solve some examples to demonstrate the high precision of the new technique.
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Researchers
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Salameh Sedaghat (First Researcher)
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