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Solving Integral and Integro-Differential Equations research benchmarks · SOTA2 Research

Solving Integral and Integro-Differential Equations

Benchmarks

Dataset NameSOTA MethodSort

Dataset NameSOTA methodMetricTrendResultsLast Updated

System of Volterra Integro-Differential Equations Problem 19

1.94MAE

4

Jun 17, 2026

Second-kind Fredholm Ordinary Integro-Differential Equation Problem 12

1.01MAE

4

Jun 17, 2026

System of Second-kind Volterra Integral Equations Problem 10

1.75MAE

4

Jun 17, 2026

2D Second-kind Fredholm Integral Equation (Problem 7)

1.3MAE (Problem 7)

4

Jun 17, 2026

1D Second-kind Linear Volterra Integral Equation Problem 1

2.23MAE

4

Jun 17, 2026

Nonlinear Fredholm Partial Integro-Differential Equation Problem 18

0.001MAE

3

Jun 17, 2026

Fredholm Partial Integro-Differential Equation Problem 17

1.24MAE

3

Jun 17, 2026

Fredholm Partial Integro-Differential Equation Problem 16

2.51MAE

3

Jun 17, 2026

First-kind Volterra Ordinary Integro-Differential Equation Problem 14

1.26MAE

3

Jun 17, 2026

Second-kind Fredholm Ordinary Integro-Differential Equation Problem 13

1.86MAE

3

Jun 17, 2026

System of Second-kind Fredholm Integral Equations Problem 9

0.001MAE

3

Jun 17, 2026

1D Second-kind Volterra-Fredholm Integral Equation Problem 4

1.48MAE

3

Jun 17, 2026

1D Second-kind Volterra-Fredholm Integral Equation Problem 3

1.91MAE

3

Jun 17, 2026

1D Second-kind Nonlinear Volterra Integral Equation Problem 2

1.05MAE

3

Jun 17, 2026

Fractional Integro-Differential Equation Problem 20

0.004MAE

2

Jun 17, 2026

First-kind Volterra Ordinary Integro-Differential Equation Problem 15

1.7MAE

2

Jun 17, 2026

System of First-kind Volterra Integral Equations Problem 11

2.56MAE

2

Jun 17, 2026

2D Second-kind Volterra Integral Equation Problem 8

4.34MAE

2

Jun 17, 2026

1D Linear Abel Integral Equation Problem 5

3.27MAE

2

Jun 17, 2026

1D Nonlinear Abel Integral Equation Problem 6

1.7MAE

1

Jun 17, 2026

Popular datasets

1D Second-kind Volterra-Fredholm Integral Equation Second-kind Fredholm Ordinary Integro-Differential Equation First-kind Volterra Ordinary Integro-Differential Equation Fredholm Partial Integro-Differential Equation 1D Second-kind Linear Volterra Integral Equation

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