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math.NA2017
Numerical integration of blow-up problems on the basis of non-local transformations and differential constraints
Andrei D. Polyanin, Inna K. Shingareva
Several new methods of numerical integration of Cauchy problems with blow-up solutions for nonlinear ordinary differential equations of the first- and second-order are described. S…
math.NA2017
New numerical methods for blow-up problems
Andrei D. Polyanin, Inna K. Shingareva
Two new methods of numerical integration of Cauchy problems for ODEs with blow-up solutions are described. The first method is based on applying a differential transformation, wher…