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Application of the Taylor differential transformation for solving the integro-differential equations

Grzymkowski R., Pleszczyński M.

Silesian Journal of Pure and Applied Mathematics

2018

Vol. 8, iss. 1

33--48

A method of solving the integro-differential equations is presented. The discussed equations will be solved by the Taylor differential transformation. By using appropriate properties of this transformation the integro-differential equation will be transformed to a respective recurrence equation. Unfortunately, the high degree of generality and complexity of such defined problem does not allow to obtain the solution in general form. Each equation requires a special method of solution.